Solve 2x^3-7x^22x-10 de 9x^3

Question

Simplify the expression

- 102 x^{3}

Evaluate

2 x^{3} - 7 x^{2} \times 2 x - 10 \times 9 x^{3}

Multiply

More Steps

Multiply the terms

- 7 x^{2} \times 2 x

Multiply the terms

- 14 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 14 x^{2 + 1}

Add the numbers

- 14 x^{3}

2 x^{3} - 14 x^{3} - 10 \times 9 x^{3}

Multiply the terms

2 x^{3} - 14 x^{3} - 90 x^{3}

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

(2 - 14 - 90) x^{3}

Solution

- 102 x^{3}

Show Solution

x = 0

Evaluate

2 x^{3} - 7 x^{2} \times 2 x - 10 \times 9 x^{3}

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

2 x^{3} - 7 x^{2} \times 2 x - 10 \times 9 x^{3} = 0

Multiply

More Steps

Multiply the terms

7 x^{2} \times 2 x

Multiply the terms

14 x^{2} \times x

Multiply the terms with the same base by adding their exponents

14 x^{2 + 1}

Add the numbers

14 x^{3}

2 x^{3} - 14 x^{3} - 10 \times 9 x^{3} = 0

Multiply the terms

2 x^{3} - 14 x^{3} - 90 x^{3} = 0

Subtract the terms

More Steps

Simplify

2 x^{3} - 14 x^{3}

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

(2 - 14) x^{3}

Subtract the numbers

- 12 x^{3}

- 12 x^{3} - 90 x^{3} = 0

Subtract the terms

More Steps

Simplify

- 12 x^{3} - 90 x^{3}

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

(- 12 - 90) x^{3}

Subtract the numbers

- 102 x^{3}

- 102 x^{3} = 0

Change the signs on both sides of the equation

102 x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution