Solve (x^23x)2-14(x^23x) 40

Question

Simplify the expression

- 1674 x^{3}

Evaluate

(x^{2} \times 3 x) \times 2 - 14 (x^{2} \times 3 x) \times 40

Remove the parentheses

x^{2} \times 3 x \times 2 - 14 x^{2} \times 3 x \times 40

Multiply

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Multiply the terms

x^{2} \times 3 x \times 2

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3 \times 2

Add the numbers

x^{3} \times 3 \times 2

Multiply the terms

x^{3} \times 6

Use the commutative property to reorder the terms

6 x^{3}

6 x^{3} - 14 x^{2} \times 3 x \times 40

Multiply

More Steps

Multiply the terms

14 x^{2} \times 3 x \times 40

Multiply the terms

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Evaluate

14 \times 3 \times 40

Multiply the terms

42 \times 40

Multiply the numbers

1680

1680 x^{2} \times x

Multiply the terms with the same base by adding their exponents

1680 x^{2 + 1}

Add the numbers

1680 x^{3}

6 x^{3} - 1680 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(6 - 1680) x^{3}

Solution

- 1674 x^{3}

Show Solution

Find the roots

x = 0

Evaluate

(x^{2} \times 3 x) \times 2 - 14 (x^{2} \times 3 x) \times 40

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

(x^{2} \times 3 x) \times 2 - 14 (x^{2} \times 3 x) \times 40 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} \times 2 - 14 (x^{2} \times 3 x) \times 40 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} \times 2 - 14 \times 3 x^{3} \times 40 = 0

Multiply the numbers

6 x^{3} - 14 \times 3 x^{3} \times 40 = 0

Multiply the terms

More Steps

Multiply the terms

14 \times 3 x^{3} \times 40

Multiply the terms

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Evaluate

14 \times 3 \times 40

Multiply the terms

42 \times 40

Multiply the numbers

1680

1680 x^{3}

6 x^{3} - 1680 x^{3} = 0

Subtract the terms

More Steps

Simplify

6 x^{3} - 1680 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(6 - 1680) x^{3}

Subtract the numbers

- 1674 x^{3}

- 1674 x^{3} = 0

Change the signs on both sides of the equation

1674 x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution