x^2+5x-10+3x=6x+89

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Solution for x^2+5x-10+3x=6x+89 equation: 


Simplifying
x2 + 5x + -10 + 3x = 6x + 89

Reorder the terms:
-10 + 5x + 3x + x2 = 6x + 89

Combine like terms: 5x + 3x = 8x
-10 + 8x + x2 = 6x + 89

Reorder the terms:
-10 + 8x + x2 = 89 + 6x

Solving
-10 + 8x + x2 = 89 + 6x

Solving for variable 'x'.

Reorder the terms:
-10 + -89 + 8x + -6x + x2 = 89 + 6x + -89 + -6x

Combine like terms: -10 + -89 = -99
-99 + 8x + -6x + x2 = 89 + 6x + -89 + -6x

Combine like terms: 8x + -6x = 2x
-99 + 2x + x2 = 89 + 6x + -89 + -6x

Reorder the terms:
-99 + 2x + x2 = 89 + -89 + 6x + -6x

Combine like terms: 89 + -89 = 0
-99 + 2x + x2 = 0 + 6x + -6x
-99 + 2x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-99 + 2x + x2 = 0

Factor a trinomial.
(-11 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-11, 9}

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