(2x+-3)(4x+4)=

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Solution for (2x+-3)(4x+4)= equation:


Simplifying
(2x + -3)(4x + 4) = 0

Reorder the terms:
(-3 + 2x)(4x + 4) = 0

Reorder the terms:
(-3 + 2x)(4 + 4x) = 0

Multiply (-3 + 2x) * (4 + 4x)
(-3(4 + 4x) + 2x * (4 + 4x)) = 0
((4 * -3 + 4x * -3) + 2x * (4 + 4x)) = 0
((-12 + -12x) + 2x * (4 + 4x)) = 0
(-12 + -12x + (4 * 2x + 4x * 2x)) = 0
(-12 + -12x + (8x + 8x2)) = 0

Combine like terms: -12x + 8x = -4x
(-12 + -4x + 8x2) = 0

Solving
-12 + -4x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -1x + 2x2) = 0

Factor a trinomial.
4((-1 + -1x)(3 + -2x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-1, 1.5}

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