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

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


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

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

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

Multiply (-4 + -2x) * (4 + 3x)
(-4(4 + 3x) + -2x * (4 + 3x)) = 0
((4 * -4 + 3x * -4) + -2x * (4 + 3x)) = 0
((-16 + -12x) + -2x * (4 + 3x)) = 0
(-16 + -12x + (4 * -2x + 3x * -2x)) = 0
(-16 + -12x + (-8x + -6x2)) = 0

Combine like terms: -12x + -8x = -20x
(-16 + -20x + -6x2) = 0

Solving
-16 + -20x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(8 + 10x + 3x2) = 0

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

Ignore the factor -2.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {-2, -1.333333333}

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