(x-9)(x+4)=(x-6)(x-1)

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Solution for (x-9)(x+4)=(x-6)(x-1) equation: 


Simplifying
(x + -9)(x + 4) = (x + -6)(x + -1)

Reorder the terms:
(-9 + x)(x + 4) = (x + -6)(x + -1)

Reorder the terms:
(-9 + x)(4 + x) = (x + -6)(x + -1)

Multiply (-9 + x) * (4 + x)
(-9(4 + x) + x(4 + x)) = (x + -6)(x + -1)
((4 * -9 + x * -9) + x(4 + x)) = (x + -6)(x + -1)
((-36 + -9x) + x(4 + x)) = (x + -6)(x + -1)
(-36 + -9x + (4 * x + x * x)) = (x + -6)(x + -1)
(-36 + -9x + (4x + x2)) = (x + -6)(x + -1)

Combine like terms: -9x + 4x = -5x
(-36 + -5x + x2) = (x + -6)(x + -1)

Reorder the terms:
-36 + -5x + x2 = (-6 + x)(x + -1)

Reorder the terms:
-36 + -5x + x2 = (-6 + x)(-1 + x)

Multiply (-6 + x) * (-1 + x)
-36 + -5x + x2 = (-6(-1 + x) + x(-1 + x))
-36 + -5x + x2 = ((-1 * -6 + x * -6) + x(-1 + x))
-36 + -5x + x2 = ((6 + -6x) + x(-1 + x))
-36 + -5x + x2 = (6 + -6x + (-1 * x + x * x))
-36 + -5x + x2 = (6 + -6x + (-1x + x2))

Combine like terms: -6x + -1x = -7x
-36 + -5x + x2 = (6 + -7x + x2)

Add '-1x2' to each side of the equation.
-36 + -5x + x2 + -1x2 = 6 + -7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + -5x + 0 = 6 + -7x + x2 + -1x2
-36 + -5x = 6 + -7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + -5x = 6 + -7x + 0
-36 + -5x = 6 + -7x

Solving
-36 + -5x = 6 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-36 + -5x + 7x = 6 + -7x + 7x

Combine like terms: -5x + 7x = 2x
-36 + 2x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
-36 + 2x = 6 + 0
-36 + 2x = 6

Add '36' to each side of the equation.
-36 + 36 + 2x = 6 + 36

Combine like terms: -36 + 36 = 0
0 + 2x = 6 + 36
2x = 6 + 36

Combine like terms: 6 + 36 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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