3(x-2)(x+2)-5x=0

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Solution for 3(x-2)(x+2)-5x=0 equation: 


Simplifying
3(x + -2)(x + 2) + -5x = 0

Reorder the terms:
3(-2 + x)(x + 2) + -5x = 0

Reorder the terms:
3(-2 + x)(2 + x) + -5x = 0

Multiply (-2 + x) * (2 + x)
3(-2(2 + x) + x(2 + x)) + -5x = 0
3((2 * -2 + x * -2) + x(2 + x)) + -5x = 0
3((-4 + -2x) + x(2 + x)) + -5x = 0
3(-4 + -2x + (2 * x + x * x)) + -5x = 0
3(-4 + -2x + (2x + x2)) + -5x = 0

Combine like terms: -2x + 2x = 0
3(-4 + 0 + x2) + -5x = 0
3(-4 + x2) + -5x = 0
(-4 * 3 + x2 * 3) + -5x = 0
(-12 + 3x2) + -5x = 0

Reorder the terms:
-12 + -5x + 3x2 = 0

Solving
-12 + -5x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -3x)(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.333333333, 3}

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