(3x-4)(3x+4)=32x

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Solution for (3x-4)(3x+4)=32x equation: 


Simplifying
(3x + -4)(3x + 4) = 32x

Reorder the terms:
(-4 + 3x)(3x + 4) = 32x

Reorder the terms:
(-4 + 3x)(4 + 3x) = 32x

Multiply (-4 + 3x) * (4 + 3x)
(-4(4 + 3x) + 3x * (4 + 3x)) = 32x
((4 * -4 + 3x * -4) + 3x * (4 + 3x)) = 32x
((-16 + -12x) + 3x * (4 + 3x)) = 32x
(-16 + -12x + (4 * 3x + 3x * 3x)) = 32x
(-16 + -12x + (12x + 9x2)) = 32x

Combine like terms: -12x + 12x = 0
(-16 + 0 + 9x2) = 32x
(-16 + 9x2) = 32x

Solving
-16 + 9x2 = 32x

Solving for variable 'x'.

Reorder the terms:
-16 + -32x + 9x2 = 32x + -32x

Combine like terms: 32x + -32x = 0
-16 + -32x + 9x2 = 0

Factor a trinomial.
(-4 + -9x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve:

Simplifying
-4 + -9x = 0

Solving
-4 + -9x = 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 + -9x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = 0 + 4
-9x = 0 + 4

Combine like terms: 0 + 4 = 4
-9x = 4

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.4444444444, 4}

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