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

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


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

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

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

Multiply (3 + 2x) * (-3 + 2x)
(3(-3 + 2x) + 2x * (-3 + 2x)) = 4(x + 2)(x + -2) + 2
((-3 * 3 + 2x * 3) + 2x * (-3 + 2x)) = 4(x + 2)(x + -2) + 2
((-9 + 6x) + 2x * (-3 + 2x)) = 4(x + 2)(x + -2) + 2
(-9 + 6x + (-3 * 2x + 2x * 2x)) = 4(x + 2)(x + -2) + 2
(-9 + 6x + (-6x + 4x2)) = 4(x + 2)(x + -2) + 2

Combine like terms: 6x + -6x = 0
(-9 + 0 + 4x2) = 4(x + 2)(x + -2) + 2
(-9 + 4x2) = 4(x + 2)(x + -2) + 2

Reorder the terms:
-9 + 4x2 = 4(2 + x)(x + -2) + 2

Reorder the terms:
-9 + 4x2 = 4(2 + x)(-2 + x) + 2

Multiply (2 + x) * (-2 + x)
-9 + 4x2 = 4(2(-2 + x) + x(-2 + x)) + 2
-9 + 4x2 = 4((-2 * 2 + x * 2) + x(-2 + x)) + 2
-9 + 4x2 = 4((-4 + 2x) + x(-2 + x)) + 2
-9 + 4x2 = 4(-4 + 2x + (-2 * x + x * x)) + 2
-9 + 4x2 = 4(-4 + 2x + (-2x + x2)) + 2

Combine like terms: 2x + -2x = 0
-9 + 4x2 = 4(-4 + 0 + x2) + 2
-9 + 4x2 = 4(-4 + x2) + 2
-9 + 4x2 = (-4 * 4 + x2 * 4) + 2
-9 + 4x2 = (-16 + 4x2) + 2

Reorder the terms:
-9 + 4x2 = -16 + 2 + 4x2

Combine like terms: -16 + 2 = -14
-9 + 4x2 = -14 + 4x2

Add '-4x2' to each side of the equation.
-9 + 4x2 + -4x2 = -14 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-9 + 0 = -14 + 4x2 + -4x2
-9 = -14 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-9 = -14 + 0
-9 = -14

Solving
-9 = -14

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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