2x^2-9x=(x+4)(x-12)

Solution for 2x^2-9x=(x+4)(x-12) equation:

Simplifying
2x2 + -9x = (x + 4)(x + -12)

Reorder the terms:
-9x + 2x2 = (x + 4)(x + -12)

Reorder the terms:
-9x + 2x2 = (4 + x)(x + -12)

Reorder the terms:
-9x + 2x2 = (4 + x)(-12 + x)

Multiply (4 + x) * (-12 + x)
-9x + 2x2 = (4(-12 + x) + x(-12 + x))
-9x + 2x2 = ((-12 * 4 + x * 4) + x(-12 + x))
-9x + 2x2 = ((-48 + 4x) + x(-12 + x))
-9x + 2x2 = (-48 + 4x + (-12 * x + x * x))
-9x + 2x2 = (-48 + 4x + (-12x + x2))

Combine like terms: 4x + -12x = -8x
-9x + 2x2 = (-48 + -8x + x2)

Solving
-9x + 2x2 = -48 + -8x + x2

Solving for variable 'x'.

Reorder the terms:
48 + -9x + 8x + 2x2 + -1x2 = -48 + -8x + x2 + 48 + 8x + -1x2

Combine like terms: -9x + 8x = -1x
48 + -1x + 2x2 + -1x2 = -48 + -8x + x2 + 48 + 8x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
48 + -1x + 1x2 = -48 + -8x + x2 + 48 + 8x + -1x2

Reorder the terms:
48 + -1x + 1x2 = -48 + 48 + -8x + 8x + x2 + -1x2

Combine like terms: -48 + 48 = 0
48 + -1x + 1x2 = 0 + -8x + 8x + x2 + -1x2
48 + -1x + 1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
48 + -1x + 1x2 = 0 + x2 + -1x2
48 + -1x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -1x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + -1x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + -1x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x + x2 = 0 + -48
-1x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
-1x + x2 = -48

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -48 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -48 + 0.25

Combine like terms: -48 + 0.25 = -47.75
0.25 + -1x + x2 = -47.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -47.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.