Solve 24u^2 - 32u

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Type your math problem... 24u^2 - 32u

Question

Factor the expression

8 u (3 u - 4)

Evaluate

24 u^{2} - 32 u

Rewrite the expression

8 u \times 3 u - 8 u \times 4

Solution

8 u (3 u - 4)

Show Solution

Find the roots

u_{1} = 0, u_{2} = \frac{4}{3}

Alternative Form

u_{1} = 0, u_{2} = 1. \dot{3}

Evaluate

24 u^{2} - 32 u

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

24 u^{2} - 32 u = 0

Factor the expression

More Steps

Evaluate

24 u^{2} - 32 u

Rewrite the expression

8 u \times 3 u - 8 u \times 4

Factor out 8 u from the expression

8 u (3 u - 4)

8 u (3 u - 4) = 0

When the product of factors equals 0,at least one factor is 0

8 u = 0 3 u - 4 = 0

Solve the equation for u

u = 0 3 u - 4 = 0

Solve the equation for u

More Steps

Evaluate

3 u - 4 = 0

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

3 u = 0 + 4

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

3 u = 4

Divide both sides

\frac{3 u}{3} = \frac{4}{3}

Divide the numbers

u = \frac{4}{3}

u = 0 u = \frac{4}{3}

Solution

u_{1} = 0, u_{2} = \frac{4}{3}

Alternative Form

u_{1} = 0, u_{2} = 1. \dot{3}

Show Solution

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