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

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


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

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

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

Solving
16 + -4x + -12x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
4((1 + -1x)(4 + 3x)) = 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 '(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 = {1, -1.333333333}

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