x^2+11x-57=3(x-8)

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Solution for x^2+11x-57=3(x-8) equation: 


Simplifying
x2 + 11x + -57 = 3(x + -8)

Reorder the terms:
-57 + 11x + x2 = 3(x + -8)

Reorder the terms:
-57 + 11x + x2 = 3(-8 + x)
-57 + 11x + x2 = (-8 * 3 + x * 3)
-57 + 11x + x2 = (-24 + 3x)

Solving
-57 + 11x + x2 = -24 + 3x

Solving for variable 'x'.

Reorder the terms:
-57 + 24 + 11x + -3x + x2 = -24 + 3x + 24 + -3x

Combine like terms: -57 + 24 = -33
-33 + 11x + -3x + x2 = -24 + 3x + 24 + -3x

Combine like terms: 11x + -3x = 8x
-33 + 8x + x2 = -24 + 3x + 24 + -3x

Reorder the terms:
-33 + 8x + x2 = -24 + 24 + 3x + -3x

Combine like terms: -24 + 24 = 0
-33 + 8x + x2 = 0 + 3x + -3x
-33 + 8x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + 8x + x2 = 0

Factor a trinomial.
(-11 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

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

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

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-11, 3}

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