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

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


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

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

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

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

Combine like terms: 12x + 12x = 24x
(-16 + 24x + -9x2) = 0

Solving
-16 + 24x + -9x2 = 0

Solving for variable 'x'.

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


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 '(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 = {1.333333333, 1.333333333}

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