X^2-11x+30=(x-6)(x+5)

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Solution for X^2-11x+30=(x-6)(x+5) equation: 


Simplifying
X2 + -11x + 30 = (x + -6)(x + 5)

Reorder the terms:
30 + X2 + -11x = (x + -6)(x + 5)

Reorder the terms:
30 + X2 + -11x = (-6 + x)(x + 5)

Reorder the terms:
30 + X2 + -11x = (-6 + x)(5 + x)

Multiply (-6 + x) * (5 + x)
30 + X2 + -11x = (-6(5 + x) + x(5 + x))
30 + X2 + -11x = ((5 * -6 + x * -6) + x(5 + x))
30 + X2 + -11x = ((-30 + -6x) + x(5 + x))
30 + X2 + -11x = (-30 + -6x + (5 * x + x * x))
30 + X2 + -11x = (-30 + -6x + (5x + x2))

Combine like terms: -6x + 5x = -1x
30 + X2 + -11x = (-30 + -1x + x2)

Solving
30 + X2 + -11x = -30 + -1x + x2

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + X2 + -30 + -11x = -30 + -1x + -30 + x2

Reorder the terms:
30 + -30 + X2 + -11x = -30 + -1x + -30 + x2

Combine like terms: 30 + -30 = 0
0 + X2 + -11x = -30 + -1x + -30 + x2
X2 + -11x = -30 + -1x + -30 + x2

Reorder the terms:
X2 + -11x = -30 + -30 + -1x + x2

Combine like terms: -30 + -30 = -60
X2 + -11x = -60 + -1x + x2

Add '11x' to each side of the equation.
X2 + -11x + 11x = -60 + -1x + 11x + x2

Combine like terms: -11x + 11x = 0
X2 + 0 = -60 + -1x + 11x + x2
X2 = -60 + -1x + 11x + x2

Combine like terms: -1x + 11x = 10x
X2 = -60 + 10x + x2

Simplifying
X2 = -60 + 10x + x2

Reorder the terms:
60 + X2 + -10x + -1x2 = -60 + 10x + x2 + 60 + -10x + -1x2

Reorder the terms:
60 + X2 + -10x + -1x2 = -60 + 60 + 10x + -10x + x2 + -1x2

Combine like terms: -60 + 60 = 0
60 + X2 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2
60 + X2 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
60 + X2 + -10x + -1x2 = 0 + x2 + -1x2
60 + X2 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60 + X2 + -10x + -1x2 = 0

The solution to this equation could not be determined.

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