X^2-9x-220=(x-20)(x+11)

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Solution for X^2-9x-220=(x-20)(x+11) equation: 


Simplifying
X2 + -9x + -220 = (x + -20)(x + 11)

Reorder the terms:
-220 + X2 + -9x = (x + -20)(x + 11)

Reorder the terms:
-220 + X2 + -9x = (-20 + x)(x + 11)

Reorder the terms:
-220 + X2 + -9x = (-20 + x)(11 + x)

Multiply (-20 + x) * (11 + x)
-220 + X2 + -9x = (-20(11 + x) + x(11 + x))
-220 + X2 + -9x = ((11 * -20 + x * -20) + x(11 + x))
-220 + X2 + -9x = ((-220 + -20x) + x(11 + x))
-220 + X2 + -9x = (-220 + -20x + (11 * x + x * x))
-220 + X2 + -9x = (-220 + -20x + (11x + x2))

Combine like terms: -20x + 11x = -9x
-220 + X2 + -9x = (-220 + -9x + x2)

Add '220' to each side of the equation.
-220 + X2 + 220 + -9x = -220 + -9x + 220 + x2

Reorder the terms:
-220 + 220 + X2 + -9x = -220 + -9x + 220 + x2

Combine like terms: -220 + 220 = 0
0 + X2 + -9x = -220 + -9x + 220 + x2
X2 + -9x = -220 + -9x + 220 + x2

Reorder the terms:
X2 + -9x = -220 + 220 + -9x + x2

Combine like terms: -220 + 220 = 0
X2 + -9x = 0 + -9x + x2
X2 + -9x = -9x + x2

Add '9x' to each side of the equation.
X2 + -9x + 9x = -9x + 9x + x2

Combine like terms: -9x + 9x = 0
X2 + 0 = -9x + 9x + x2
X2 = -9x + 9x + x2

Combine like terms: -9x + 9x = 0
X2 = 0 + x2
X2 = x2

Solving
X2 = x2

Solving for variable 'X'.

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

Simplifying
X2 = x2

Take the square root of each side:
X = {-1x, x}

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