(2x-3)(2x-3)+10=-6

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Solution for (2x-3)(2x-3)+10=-6 equation: 


Simplifying
(2x + -3)(2x + -3) + 10 = -6

Reorder the terms:
(-3 + 2x)(2x + -3) + 10 = -6

Reorder the terms:
(-3 + 2x)(-3 + 2x) + 10 = -6

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

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2) + 10 = -6

Reorder the terms:
9 + 10 + -12x + 4x2 = -6

Combine like terms: 9 + 10 = 19
19 + -12x + 4x2 = -6

Solving
19 + -12x + 4x2 = -6

Solving for variable 'x'.

Reorder the terms:
19 + 6 + -12x + 4x2 = -6 + 6

Combine like terms: 19 + 6 = 25
25 + -12x + 4x2 = -6 + 6

Combine like terms: -6 + 6 = 0
25 + -12x + 4x2 = 0

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

Divide each side by '4'.
6.25 + -3x + x2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -3x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -3x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -3x + x2 = 0 + -6.25
-3x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-3x + x2 = -6.25

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -6.25 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -6.25 + 2.25

Combine like terms: -6.25 + 2.25 = -4
2.25 + -3x + x2 = -4

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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