Solve (4x-8)(x-3)

Question

Simplify the expression

4 x^{2} - 20 x + 24

Evaluate

(4 x - 8) (x - 3)

Apply the distributive property

4 x \times x - 4 x \times 3 - 8 x - (- 8 \times 3)

Multiply the terms

4 x^{2} - 4 x \times 3 - 8 x - (- 8 \times 3)

Multiply the numbers

4 x^{2} - 12 x - 8 x - (- 8 \times 3)

Multiply the numbers

4 x^{2} - 12 x - 8 x - (- 24)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 x^{2} - 12 x - 8 x + 24

Solution

More Steps

Evaluate

- 12 x - 8 x

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

(- 12 - 8) x

Subtract the numbers

- 20 x

4 x^{2} - 20 x + 24

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Factor the expression

4 (x - 2) (x - 3)

Evaluate

(4 x - 8) (x - 3)

Solution

4 (x - 2) (x - 3)

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Find the roots

x_{1} = 2, x_{2} = 3

Evaluate

(4 x - 8) (x - 3)

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

(4 x - 8) (x - 3) = 0

Separate the equation into 2 possible cases

4 x - 8 = 0 x - 3 = 0

Solve the equation

More Steps

Evaluate

4 x - 8 = 0

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

4 x = 0 + 8

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

4 x = 8

Divide both sides

\frac{4 x}{4} = \frac{8}{4}

Divide the numbers

x = \frac{8}{4}

Divide the numbers

More Steps

Evaluate

\frac{8}{4}

Reduce the numbers

\frac{2}{1}

Calculate

2

x = 2

x = 2 x - 3 = 0

Solve the equation

More Steps

Evaluate

x - 3 = 0

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

x = 0 + 3

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

x = 3

x = 2 x = 3

Solution

x_{1} = 2, x_{2} = 3

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