x(x-6)=x+12(x-10)

Solution for x(x-6)=x+12(x-10) equation:

Simplifying
x(x + -6) = x + 12(x + -10)

Reorder the terms:
x(-6 + x) = x + 12(x + -10)
(-6 * x + x * x) = x + 12(x + -10)
(-6x + x2) = x + 12(x + -10)

Reorder the terms:
-6x + x2 = x + 12(-10 + x)
-6x + x2 = x + (-10 * 12 + x * 12)
-6x + x2 = x + (-120 + 12x)

Reorder the terms:
-6x + x2 = -120 + x + 12x

Combine like terms: x + 12x = 13x
-6x + x2 = -120 + 13x

Solving
-6x + x2 = -120 + 13x

Solving for variable 'x'.

Reorder the terms:
120 + -6x + -13x + x2 = -120 + 13x + 120 + -13x

Combine like terms: -6x + -13x = -19x
120 + -19x + x2 = -120 + 13x + 120 + -13x

Reorder the terms:
120 + -19x + x2 = -120 + 120 + 13x + -13x

Combine like terms: -120 + 120 = 0
120 + -19x + x2 = 0 + 13x + -13x
120 + -19x + x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
120 + -19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + -19x + -120 + x2 = 0 + -120

Reorder the terms:
120 + -120 + -19x + x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -19x + x2 = 0 + -120
-19x + x2 = 0 + -120

Combine like terms: 0 + -120 = -120
-19x + x2 = -120

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -120 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -120 + 90.25

Combine like terms: -120 + 90.25 = -29.75
90.25 + -19x + x2 = -29.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.