(2x+3)(2x+3)-(2x-3)(2x-3)=6

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Solution for (2x+3)(2x+3)-(2x-3)(2x-3)=6 equation: 


Simplifying
(2x + 3)(2x + 3) + -1(2x + -3)(2x + -3) = 6

Reorder the terms:
(3 + 2x)(2x + 3) + -1(2x + -3)(2x + -3) = 6

Reorder the terms:
(3 + 2x)(3 + 2x) + -1(2x + -3)(2x + -3) = 6

Multiply (3 + 2x) * (3 + 2x)
(3(3 + 2x) + 2x * (3 + 2x)) + -1(2x + -3)(2x + -3) = 6
((3 * 3 + 2x * 3) + 2x * (3 + 2x)) + -1(2x + -3)(2x + -3) = 6
((9 + 6x) + 2x * (3 + 2x)) + -1(2x + -3)(2x + -3) = 6
(9 + 6x + (3 * 2x + 2x * 2x)) + -1(2x + -3)(2x + -3) = 6
(9 + 6x + (6x + 4x2)) + -1(2x + -3)(2x + -3) = 6

Combine like terms: 6x + 6x = 12x
(9 + 12x + 4x2) + -1(2x + -3)(2x + -3) = 6

Reorder the terms:
9 + 12x + 4x2 + -1(-3 + 2x)(2x + -3) = 6

Reorder the terms:
9 + 12x + 4x2 + -1(-3 + 2x)(-3 + 2x) = 6

Multiply (-3 + 2x) * (-3 + 2x)
9 + 12x + 4x2 + -1(-3(-3 + 2x) + 2x * (-3 + 2x)) = 6
9 + 12x + 4x2 + -1((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) = 6
9 + 12x + 4x2 + -1((9 + -6x) + 2x * (-3 + 2x)) = 6
9 + 12x + 4x2 + -1(9 + -6x + (-3 * 2x + 2x * 2x)) = 6
9 + 12x + 4x2 + -1(9 + -6x + (-6x + 4x2)) = 6

Combine like terms: -6x + -6x = -12x
9 + 12x + 4x2 + -1(9 + -12x + 4x2) = 6
9 + 12x + 4x2 + (9 * -1 + -12x * -1 + 4x2 * -1) = 6
9 + 12x + 4x2 + (-9 + 12x + -4x2) = 6

Reorder the terms:
9 + -9 + 12x + 12x + 4x2 + -4x2 = 6

Combine like terms: 9 + -9 = 0
0 + 12x + 12x + 4x2 + -4x2 = 6
12x + 12x + 4x2 + -4x2 = 6

Combine like terms: 12x + 12x = 24x
24x + 4x2 + -4x2 = 6

Combine like terms: 4x2 + -4x2 = 0
24x + 0 = 6
24x = 6

Solving
24x = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '24'.
x = 0.25

Simplifying
x = 0.25

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