Solve x^27x 103-x^25x

Question

Simplify the expression

716 x^{3}

Evaluate

x^{2} \times 7 x \times 103 - x^{2} \times 5 x

Multiply

More Steps

Multiply the terms

x^{2} \times 7 x \times 103

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 7 \times 103

Add the numbers

x^{3} \times 7 \times 103

Multiply the terms

x^{3} \times 721

Use the commutative property to reorder the terms

721 x^{3}

721 x^{3} - x^{2} \times 5 x

Multiply

More Steps

Multiply the terms

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

721 x^{3} - 5 x^{3}

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

(721 - 5) x^{3}

Solution

716 x^{3}

Show Solution

x = 0

Evaluate

x^{2} \times 7 x \times 103 - x^{2} \times 5 x

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

x^{2} \times 7 x \times 103 - x^{2} \times 5 x = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 7 x \times 103

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 7 \times 103

Add the numbers

x^{3} \times 7 \times 103

Multiply the terms

x^{3} \times 721

Use the commutative property to reorder the terms

721 x^{3}

721 x^{3} - x^{2} \times 5 x = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

721 x^{3} - 5 x^{3} = 0

Subtract the terms

More Steps

Simplify

721 x^{3} - 5 x^{3}

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

(721 - 5) x^{3}

Subtract the numbers

716 x^{3}

716 x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution