Solve 12x^3 - 9x^2 - 4x^3

Question

Simplify the expression

8 x^{3} - 9 x^{2}

Evaluate

12 x^{3} - 9 x^{2} - 4 x^{3}

Solution

More Steps

Evaluate

12 x^{3} - 4 x^{3}

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

(12 - 4) x^{3}

Subtract the numbers

8 x^{3}

8 x^{3} - 9 x^{2}

Show Solution

x^{2} (8 x - 9)

Evaluate

12 x^{3} - 9 x^{2} - 4 x^{3}

Subtract the terms

More Steps

Evaluate

12 x^{3} - 4 x^{3}

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

(12 - 4) x^{3}

Subtract the numbers

8 x^{3}

8 x^{3} - 9 x^{2}

Rewrite the expression

x^{2} \times 8 x - x^{2} \times 9

Solution

x^{2} (8 x - 9)

Show Solution

x_{1} = 0, x_{2} = \frac{9}{8}

Alternative Form

x_{1} = 0, x_{2} = 1.125

Evaluate

12 x^{3} - 9 x^{2} - 4 x^{3}

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

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

Subtract the terms

More Steps

Simplify

12 x^{3} - 9 x^{2} - 4 x^{3}

Subtract the terms

More Steps

Evaluate

12 x^{3} - 4 x^{3}

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

(12 - 4) x^{3}

Subtract the numbers

8 x^{3}

8 x^{3} - 9 x^{2}

8 x^{3} - 9 x^{2} = 0

Factor the expression

x^{2} (8 x - 9) = 0

Separate the equation into 2 possible cases

x^{2} = 0 8 x - 9 = 0

The only way a power can be 0 is when the base equals 0

x = 0 8 x - 9 = 0

Solve the equation

More Steps

Evaluate

8 x - 9 = 0

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

8 x = 0 + 9

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

8 x = 9

Divide both sides

\frac{8 x}{8} = \frac{9}{8}

Divide the numbers

x = \frac{9}{8}

x = 0 x = \frac{9}{8}

Solution

x_{1} = 0, x_{2} = \frac{9}{8}

Alternative Form

x_{1} = 0, x_{2} = 1.125

Show Solution