5x^2-(2x-3)2=

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

Simplifying
5x2 + -1(2x + -3) * 2 = 0

Reorder the terms:
5x2 + -1(-3 + 2x) * 2 = 0

Reorder the terms for easier multiplication:
5x2 + -1 * 2(-3 + 2x) = 0

Multiply -1 * 2
5x2 + -2(-3 + 2x) = 0
5x2 + (-3 * -2 + 2x * -2) = 0
5x2 + (6 + -4x) = 0

Reorder the terms:
6 + -4x + 5x2 = 0

Solving
6 + -4x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
1.2 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.8x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.8x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.8x + x2 = 0 + -1.2
-0.8x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.8x + x2 = -1.2

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -1.2 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -1.2 + 0.16

Combine like terms: -1.2 + 0.16 = -1.04
0.16 + -0.8x + x2 = -1.04

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.