x(x-1)+36=x(x+3)

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Solution for x(x-1)+36=x(x+3) equation:


Simplifying
x(x + -1) + 36 = x(x + 3)

Reorder the terms:
x(-1 + x) + 36 = x(x + 3)
(-1 * x + x * x) + 36 = x(x + 3)
(-1x + x2) + 36 = x(x + 3)

Reorder the terms:
36 + -1x + x2 = x(x + 3)

Reorder the terms:
36 + -1x + x2 = x(3 + x)
36 + -1x + x2 = (3 * x + x * x)
36 + -1x + x2 = (3x + x2)

Add '-1x2' to each side of the equation.
36 + -1x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -1x + 0 = 3x + x2 + -1x2
36 + -1x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -1x = 3x + 0
36 + -1x = 3x

Solving
36 + -1x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + -1x + -3x = 3x + -3x

Combine like terms: -1x + -3x = -4x
36 + -4x = 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -4x = 0

Add '-36' to each side of the equation.
36 + -36 + -4x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = 0 + -36
-4x = 0 + -36

Combine like terms: 0 + -36 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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