(2x-5)(2x-5)-(2x+3)(2x-3)=4

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Solution for (2x-5)(2x-5)-(2x+3)(2x-3)=4 equation: 


Simplifying
(2x + -5)(2x + -5) + -1(2x + 3)(2x + -3) = 4

Reorder the terms:
(-5 + 2x)(2x + -5) + -1(2x + 3)(2x + -3) = 4

Reorder the terms:
(-5 + 2x)(-5 + 2x) + -1(2x + 3)(2x + -3) = 4

Multiply (-5 + 2x) * (-5 + 2x)
(-5(-5 + 2x) + 2x * (-5 + 2x)) + -1(2x + 3)(2x + -3) = 4
((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) + -1(2x + 3)(2x + -3) = 4
((25 + -10x) + 2x * (-5 + 2x)) + -1(2x + 3)(2x + -3) = 4
(25 + -10x + (-5 * 2x + 2x * 2x)) + -1(2x + 3)(2x + -3) = 4
(25 + -10x + (-10x + 4x2)) + -1(2x + 3)(2x + -3) = 4

Combine like terms: -10x + -10x = -20x
(25 + -20x + 4x2) + -1(2x + 3)(2x + -3) = 4

Reorder the terms:
25 + -20x + 4x2 + -1(3 + 2x)(2x + -3) = 4

Reorder the terms:
25 + -20x + 4x2 + -1(3 + 2x)(-3 + 2x) = 4

Multiply (3 + 2x) * (-3 + 2x)
25 + -20x + 4x2 + -1(3(-3 + 2x) + 2x * (-3 + 2x)) = 4
25 + -20x + 4x2 + -1((-3 * 3 + 2x * 3) + 2x * (-3 + 2x)) = 4
25 + -20x + 4x2 + -1((-9 + 6x) + 2x * (-3 + 2x)) = 4
25 + -20x + 4x2 + -1(-9 + 6x + (-3 * 2x + 2x * 2x)) = 4
25 + -20x + 4x2 + -1(-9 + 6x + (-6x + 4x2)) = 4

Combine like terms: 6x + -6x = 0
25 + -20x + 4x2 + -1(-9 + 0 + 4x2) = 4
25 + -20x + 4x2 + -1(-9 + 4x2) = 4
25 + -20x + 4x2 + (-9 * -1 + 4x2 * -1) = 4
25 + -20x + 4x2 + (9 + -4x2) = 4

Reorder the terms:
25 + 9 + -20x + 4x2 + -4x2 = 4

Combine like terms: 25 + 9 = 34
34 + -20x + 4x2 + -4x2 = 4

Combine like terms: 4x2 + -4x2 = 0
34 + -20x + 0 = 4
34 + -20x = 4

Solving
34 + -20x = 4

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + -20x = 4 + -34

Combine like terms: 34 + -34 = 0
0 + -20x = 4 + -34
-20x = 4 + -34

Combine like terms: 4 + -34 = -30
-20x = -30

Divide each side by '-20'.
x = 1.5

Simplifying
x = 1.5

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