7-4(x-6)=8-4x(x-3)

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Solution for 7-4(x-6)=8-4x(x-3) equation: 


Simplifying
7 + -4(x + -6) = 8 + -4x(x + -3)

Reorder the terms:
7 + -4(-6 + x) = 8 + -4x(x + -3)
7 + (-6 * -4 + x * -4) = 8 + -4x(x + -3)
7 + (24 + -4x) = 8 + -4x(x + -3)

Combine like terms: 7 + 24 = 31
31 + -4x = 8 + -4x(x + -3)

Reorder the terms:
31 + -4x = 8 + -4x(-3 + x)
31 + -4x = 8 + (-3 * -4x + x * -4x)
31 + -4x = 8 + (12x + -4x2)

Solving
31 + -4x = 8 + 12x + -4x2

Solving for variable 'x'.

Reorder the terms:
31 + -8 + -4x + -12x + 4x2 = 8 + 12x + -4x2 + -8 + -12x + 4x2

Combine like terms: 31 + -8 = 23
23 + -4x + -12x + 4x2 = 8 + 12x + -4x2 + -8 + -12x + 4x2

Combine like terms: -4x + -12x = -16x
23 + -16x + 4x2 = 8 + 12x + -4x2 + -8 + -12x + 4x2

Reorder the terms:
23 + -16x + 4x2 = 8 + -8 + 12x + -12x + -4x2 + 4x2

Combine like terms: 8 + -8 = 0
23 + -16x + 4x2 = 0 + 12x + -12x + -4x2 + 4x2
23 + -16x + 4x2 = 12x + -12x + -4x2 + 4x2

Combine like terms: 12x + -12x = 0
23 + -16x + 4x2 = 0 + -4x2 + 4x2
23 + -16x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
23 + -16x + 4x2 = 0

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

Divide each side by '4'.
5.75 + -4x + x2 = 0

Move the constant term to the right:

Add '-5.75' to each side of the equation.
5.75 + -4x + -5.75 + x2 = 0 + -5.75

Reorder the terms:
5.75 + -5.75 + -4x + x2 = 0 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + -4x + x2 = 0 + -5.75
-4x + x2 = 0 + -5.75

Combine like terms: 0 + -5.75 = -5.75
-4x + x2 = -5.75

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -5.75 + 4

Reorder the terms:
4 + -4x + x2 = -5.75 + 4

Combine like terms: -5.75 + 4 = -1.75
4 + -4x + x2 = -1.75

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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