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

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


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

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

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

Multiply (-3 + 4x) * (3 + -4x)
2(-3(3 + -4x) + 4x * (3 + -4x)) = 0
2((3 * -3 + -4x * -3) + 4x * (3 + -4x)) = 0
2((-9 + 12x) + 4x * (3 + -4x)) = 0
2(-9 + 12x + (3 * 4x + -4x * 4x)) = 0
2(-9 + 12x + (12x + -16x2)) = 0

Combine like terms: 12x + 12x = 24x
2(-9 + 24x + -16x2) = 0
(-9 * 2 + 24x * 2 + -16x2 * 2) = 0
(-18 + 48x + -32x2) = 0

Solving
-18 + 48x + -32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 24x + -16x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + 4x)' equal to zero and attempt to solve:

Simplifying
-3 + 4x = 0

Solving
-3 + 4x = 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 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0.75, 0.75}

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