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

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Solution for (4x-4)(3x+4)=0 equation: 


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

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

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

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

Combine like terms: -12x + 16x = 4x
(-16 + 4x + 12x2) = 0

Solving
-16 + 4x + 12x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-1.333333333, 1}

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