Solve (-7/6 c 11/6) (-5c^2 3c 9/5)

Question

Simplify the expression

\frac{231}{4} c^{4}

Evaluate

(- \frac{7}{6} c \times \frac{11}{6}) (- 5 c^{2} \times 3 c \times \frac{9}{5})

Rewrite the expression

(- \frac{7}{6} c \times \frac{11}{6}) (- 5) c^{2} \times 3 c \times \frac{9}{5}

Multiply the terms

More Steps

Multiply the terms

\frac{7}{6} c \times \frac{11}{6}

Multiply the terms

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Evaluate

\frac{7}{6} \times \frac{11}{6}

To multiply the fractions,multiply the numerators and denominators separately

\frac{7 \times 11}{6 \times 6}

Multiply the numbers

\frac{77}{6 \times 6}

Multiply the numbers

\frac{77}{36}

\frac{77}{36} c

(- \frac{77}{36} c) (- 5) c^{2} \times 3 c \times \frac{9}{5}

Remove the parentheses

- \frac{77}{36} c (- 5) c^{2} \times 3 c \times \frac{9}{5}

Rewrite the expression

\frac{77}{36} c \times 5 c^{2} \times 3 c \times \frac{9}{5}

Multiply the terms

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Evaluate

\frac{77}{36} \times 5 \times 3 \times \frac{9}{5}

Reduce the fraction

\frac{77}{36} \times 1 \times 3 \times 9

Any expression multiplied by 1 remains the same

\frac{77}{36} \times 3 \times 9

Multiply the terms

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Evaluate

\frac{77}{36} \times 3

Reduce the numbers

\frac{77}{12} \times 1

Multiply the numbers

\frac{77}{12}

\frac{77}{12} \times 9

Reduce the numbers

\frac{77}{4} \times 3

Multiply the numbers

\frac{77 \times 3}{4}

Multiply the numbers

\frac{231}{4}

\frac{231}{4} c \times c^{2} \times c

Multiply the terms with the same base by adding their exponents

\frac{231}{4} c^{1 + 2 + 1}

Solution

\frac{231}{4} c^{4}

Show Solution

Find the roots

c = 0

Evaluate

(- \frac{7}{6} c \times \frac{11}{6}) (- 5 c^{2} \times 3 c \times \frac{9}{5})

To find the roots of the expression,set the expression equal to 0

(- \frac{7}{6} c \times \frac{11}{6}) (- 5 c^{2} \times 3 c \times \frac{9}{5}) = 0

Multiply the terms

More Steps

Multiply the terms

\frac{7}{6} c \times \frac{11}{6}

Multiply the terms

More Steps

Evaluate

\frac{7}{6} \times \frac{11}{6}

To multiply the fractions,multiply the numerators and denominators separately

\frac{7 \times 11}{6 \times 6}

Multiply the numbers

\frac{77}{6 \times 6}

Multiply the numbers

\frac{77}{36}

\frac{77}{36} c

(- \frac{77}{36} c) (- 5 c^{2} \times 3 c \times \frac{9}{5}) = 0

Remove the parentheses

- \frac{77}{36} c (- 5 c^{2} \times 3 c \times \frac{9}{5}) = 0

Multiply

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Multiply the terms

- 5 c^{2} \times 3 c \times \frac{9}{5}

Multiply the terms

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Evaluate

5 \times 3 \times \frac{9}{5}

Reduce the fraction

1 \times 3 \times 9

Any expression multiplied by 1 remains the same

3 \times 9

Multiply the numbers

27

- 27 c^{2} \times c

Multiply the terms with the same base by adding their exponents

- 27 c^{2 + 1}

Add the numbers

- 27 c^{3}

- \frac{77}{36} c (- 27 c^{3}) = 0

Multiply the terms

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Evaluate

- \frac{77}{36} c (- 27 c^{3})

Multiply the numbers

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Evaluate

- \frac{77}{36} (- 27)

Multiplying or dividing an even number of negative terms equals a positive

\frac{77}{36} \times 27

Reduce the numbers

\frac{77}{4} \times 3

Multiply the numbers

\frac{77 \times 3}{4}

Multiply the numbers

\frac{231}{4}

\frac{231}{4} c \times c^{3}

Multiply the terms

More Steps

Evaluate

c \times c^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

c^{1 + 3}

Add the numbers

c^{4}

\frac{231}{4} c^{4}

\frac{231}{4} c^{4} = 0

Rewrite the expression

c^{4} = 0

Solution

c = 0

Show Solution