Solve 4x^2 12x 9-3(2x^3) 1

Question

Simplify the expression

426 x^{3}

Evaluate

4 x^{2} \times 12 x \times 9 - 3 \times 2 x^{3} \times 1

Multiply

More Steps

Multiply the terms

4 x^{2} \times 12 x \times 9

Multiply the terms

More Steps

Evaluate

4 \times 12 \times 9

Multiply the terms

48 \times 9

Multiply the numbers

432

432 x^{2} \times x

Multiply the terms with the same base by adding their exponents

432 x^{2 + 1}

Add the numbers

432 x^{3}

432 x^{3} - 3 \times 2 x^{3} \times 1

Multiply the terms

More Steps

Multiply the terms

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

Rewrite the expression

3 \times 2 x^{3}

Multiply the terms

6 x^{3}

432 x^{3} - 6 x^{3}

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

(432 - 6) x^{3}

Solution

426 x^{3}

Show Solution

x = 0

Evaluate

4 x^{2} \times 12 x \times 9 - 3 (2 x^{3}) \times 1

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

4 x^{2} \times 12 x \times 9 - 3 (2 x^{3}) \times 1 = 0

Multiply the terms

4 x^{2} \times 12 x \times 9 - 3 \times 2 x^{3} \times 1 = 0

Multiply

More Steps

Multiply the terms

4 x^{2} \times 12 x \times 9

Multiply the terms

More Steps

Evaluate

4 \times 12 \times 9

Multiply the terms

48 \times 9

Multiply the numbers

432

432 x^{2} \times x

Multiply the terms with the same base by adding their exponents

432 x^{2 + 1}

Add the numbers

432 x^{3}

432 x^{3} - 3 \times 2 x^{3} \times 1 = 0

Multiply the terms

More Steps

Multiply the terms

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

Rewrite the expression

3 \times 2 x^{3}

Multiply the terms

6 x^{3}

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

Subtract the terms

More Steps

Simplify

432 x^{3} - 6 x^{3}

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

(432 - 6) x^{3}

Subtract the numbers

426 x^{3}

426 x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution