Solve 72x^28x -99x

Question

Simplify the expression

576 x^{3} - 99 x

Evaluate

72 x^{2} \times 8 x - 99 x

Solution

More Steps

Evaluate

72 x^{2} \times 8 x

Multiply the terms

576 x^{2} \times x

Multiply the terms with the same base by adding their exponents

576 x^{2 + 1}

Add the numbers

576 x^{3}

576 x^{3} - 99 x

Show Solution

Factor the expression

9 x (64 x^{2} - 11)

Evaluate

72 x^{2} \times 8 x - 99 x

Multiply

More Steps

Evaluate

72 x^{2} \times 8 x

Multiply the terms

576 x^{2} \times x

Multiply the terms with the same base by adding their exponents

576 x^{2 + 1}

Add the numbers

576 x^{3}

576 x^{3} - 99 x

Rewrite the expression

9 x \times 64 x^{2} - 9 x \times 11

Solution

9 x (64 x^{2} - 11)

Show Solution

Find the roots

x_{1} = - \frac{11}{8}, x_{2} = 0, x_{3} = \frac{11}{8}

Alternative Form

x_{1} \approx - 0.414578, x_{2} = 0, x_{3} \approx 0.414578

Evaluate

72 x^{2} \times 8 x - 99 x

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

72 x^{2} \times 8 x - 99 x = 0

Multiply

More Steps

Multiply the terms

72 x^{2} \times 8 x

Multiply the terms

576 x^{2} \times x

Multiply the terms with the same base by adding their exponents

576 x^{2 + 1}

Add the numbers

576 x^{3}

576 x^{3} - 99 x = 0

Factor the expression

9 x (64 x^{2} - 11) = 0

Divide both sides

x (64 x^{2} - 11) = 0

Separate the equation into 2 possible cases

x = 0 64 x^{2} - 11 = 0

Solve the equation

More Steps

Evaluate

64 x^{2} - 11 = 0

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

64 x^{2} = 0 + 11

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

64 x^{2} = 11

Divide both sides

\frac{64 x ^{2}}{64} = \frac{11}{64}

Divide the numbers

x^{2} = \frac{11}{64}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{11}{64}

Simplify the expression

More Steps

Evaluate

\frac{11}{64}

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

\frac{11}{64}

Simplify the radical expression

\frac{11}{8}

x = \pm \frac{11}{8}

Separate the equation into 2 possible cases

x = \frac{11}{8} x = - \frac{11}{8}

x = 0 x = \frac{11}{8} x = - \frac{11}{8}

Solution

x_{1} = - \frac{11}{8}, x_{2} = 0, x_{3} = \frac{11}{8}

Alternative Form

x_{1} \approx - 0.414578, x_{2} = 0, x_{3} \approx 0.414578

Show Solution