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

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


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

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

Reorder the terms for easier multiplication:
2(-5 + 2x) + -1(2x + 3)(2x + -3) = 4
(-5 * 2 + 2x * 2) + -1(2x + 3)(2x + -3) = 4
(-10 + 4x) + -1(2x + 3)(2x + -3) = 4

Reorder the terms:
-10 + 4x + -1(3 + 2x)(2x + -3) = 4

Reorder the terms:
-10 + 4x + -1(3 + 2x)(-3 + 2x) = 4

Multiply (3 + 2x) * (-3 + 2x)
-10 + 4x + -1(3(-3 + 2x) + 2x * (-3 + 2x)) = 4
-10 + 4x + -1((-3 * 3 + 2x * 3) + 2x * (-3 + 2x)) = 4
-10 + 4x + -1((-9 + 6x) + 2x * (-3 + 2x)) = 4
-10 + 4x + -1(-9 + 6x + (-3 * 2x + 2x * 2x)) = 4
-10 + 4x + -1(-9 + 6x + (-6x + 4x2)) = 4

Combine like terms: 6x + -6x = 0
-10 + 4x + -1(-9 + 0 + 4x2) = 4
-10 + 4x + -1(-9 + 4x2) = 4
-10 + 4x + (-9 * -1 + 4x2 * -1) = 4
-10 + 4x + (9 + -4x2) = 4

Reorder the terms:
-10 + 9 + 4x + -4x2 = 4

Combine like terms: -10 + 9 = -1
-1 + 4x + -4x2 = 4

Solving
-1 + 4x + -4x2 = 4

Solving for variable 'x'.

Reorder the terms:
-1 + -4 + 4x + -4x2 = 4 + -4

Combine like terms: -1 + -4 = -5
-5 + 4x + -4x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-5 + 4x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1x + x2 = 0 + -1.25
-1x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1x + x2 = -1.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + -1x + x2 = -1

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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