Solve 90-(15x^3) 12

Question

Simplify the expression

90 - 180 x^{3}

Evaluate

90 - 15 x^{3} \times 12

Solution

90 - 180 x^{3}

Show Solution

90 (1 - 2 x^{3})

Evaluate

90 - 15 x^{3} \times 12

Multiply the numbers

More Steps

Evaluate

15 \times 12

Multiply the numbers

180

Evaluate

180 x^{3}

90 - 180 x^{3}

Solution

90 (1 - 2 x^{3})

Show Solution

x = \frac{3 4}{2}

Alternative Form

x \approx 0.793701

Evaluate

90 - (15 x^{3}) \times 12

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

90 - (15 x^{3}) \times 12 = 0

Multiply the terms

90 - 15 x^{3} \times 12 = 0

Multiply the numbers

90 - 180 x^{3} = 0

Move the constant to the right-hand side and change its sign

- 180 x^{3} = 0 - 90

Removing 0 doesn't change the value,so remove it from the expression

- 180 x^{3} = - 90

Change the signs on both sides of the equation

180 x^{3} = 90

Divide both sides

\frac{180 x ^{3}}{180} = \frac{90}{180}

Divide the numbers

x^{3} = \frac{90}{180}

Cancel out the common factor 90

x^{3} = \frac{1}{2}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{2}

Calculate

x = 3 \frac{1}{2}

Solution

More Steps

Evaluate

3 \frac{1}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 2}

Simplify the radical expression

\frac{1}{3 2}

Multiply by the Conjugate

\frac{3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

The product of roots with the same index is equal to the root of the product

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 4}{2}

x = \frac{3 4}{2}

Alternative Form

x \approx 0.793701

Show Solution