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

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


Simplifying
x2 + -11x + 30 = (x + -5)(x + 6)

Reorder the terms:
30 + -11x + x2 = (x + -5)(x + 6)

Reorder the terms:
30 + -11x + x2 = (-5 + x)(x + 6)

Reorder the terms:
30 + -11x + x2 = (-5 + x)(6 + x)

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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -11x + -1x = -12x
30 + -12x = -30 + 1x + -1x

Combine like terms: 1x + -1x = 0
30 + -12x = -30 + 0
30 + -12x = -30

Add '-30' to each side of the equation.
30 + -30 + -12x = -30 + -30

Combine like terms: 30 + -30 = 0
0 + -12x = -30 + -30
-12x = -30 + -30

Combine like terms: -30 + -30 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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