6x^2-6x=5x^2-4x-12

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Solution for 6x^2-6x=5x^2-4x-12 equation:


Simplifying
6x2 + -6x = 5x2 + -4x + -12

Reorder the terms:
-6x + 6x2 = 5x2 + -4x + -12

Reorder the terms:
-6x + 6x2 = -12 + -4x + 5x2

Solving
-6x + 6x2 = -12 + -4x + 5x2

Solving for variable 'x'.

Reorder the terms:
12 + -6x + 4x + 6x2 + -5x2 = -12 + -4x + 5x2 + 12 + 4x + -5x2

Combine like terms: -6x + 4x = -2x
12 + -2x + 6x2 + -5x2 = -12 + -4x + 5x2 + 12 + 4x + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
12 + -2x + 1x2 = -12 + -4x + 5x2 + 12 + 4x + -5x2

Reorder the terms:
12 + -2x + 1x2 = -12 + 12 + -4x + 4x + 5x2 + -5x2

Combine like terms: -12 + 12 = 0
12 + -2x + 1x2 = 0 + -4x + 4x + 5x2 + -5x2
12 + -2x + 1x2 = -4x + 4x + 5x2 + -5x2

Combine like terms: -4x + 4x = 0
12 + -2x + 1x2 = 0 + 5x2 + -5x2
12 + -2x + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
12 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -2x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -2x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -2x + x2 = 0 + -12
-2x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-2x + x2 = -12

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -12 + 1

Reorder the terms:
1 + -2x + x2 = -12 + 1

Combine like terms: -12 + 1 = -11
1 + -2x + x2 = -11

Factor a perfect square on the left side:
(x + -1)(x + -1) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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