Solve (2x+2)(2x-3)

Question

Simplify the expression

Solution

4 x^{2} - 2 x - 6

Evaluate

(2 x + 2) (2 x - 3)

Apply the distributive property

2 x \times 2 x - 2 x \times 3 + 2 \times 2 x - 2 \times 3

Multiply the terms

More Steps

Evaluate

2 x \times 2 x

Multiply the numbers

4 x \times x

Multiply the terms

4 x^{2}

4 x^{2} - 2 x \times 3 + 2 \times 2 x - 2 \times 3

Multiply the numbers

4 x^{2} - 6 x + 2 \times 2 x - 2 \times 3

Multiply the numbers

4 x^{2} - 6 x + 4 x - 2 \times 3

Multiply the numbers

4 x^{2} - 6 x + 4 x - 6

Solution

More Steps

Evaluate

- 6 x + 4 x

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

(- 6 + 4) x

Add the numbers

- 2 x

4 x^{2} - 2 x - 6

Show Solution

Factor the expression

Factor

2 (x + 1) (2 x - 3)

Evaluate

(2 x + 2) (2 x - 3)

Solution

2 (x + 1) (2 x - 3)

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = - 1, x_{2} = \frac{3}{2}

Alternative Form

x_{1} = - 1, x_{2} = 1.5

Evaluate

(2 x + 2) (2 x - 3)

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

(2 x + 2) (2 x - 3) = 0

Separate the equation into 2 possible cases

2 x + 2 = 0 2 x - 3 = 0

Solve the equation

More Steps

Evaluate

2 x + 2 = 0

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

2 x = 0 - 2

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

2 x = - 2

Divide both sides

\frac{2 x}{2} = \frac{- 2}{2}

Divide the numbers

x = \frac{- 2}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 2}{2}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

x = - 1

x = - 1 2 x - 3 = 0

Solve the equation

More Steps

Evaluate

2 x - 3 = 0

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

2 x = 0 + 3

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

2 x = 3

Divide both sides

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

Divide the numbers

x = \frac{3}{2}

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

Solution

x_{1} = - 1, x_{2} = \frac{3}{2}

Alternative Form

x_{1} = - 1, x_{2} = 1.5

Show Solution

(2x+2)(2x 3)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression