8x^2+17x-13=23-6x

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Solution for 8x^2+17x-13=23-6x equation: 


Simplifying
8x2 + 17x + -13 = 23 + -6x

Reorder the terms:
-13 + 17x + 8x2 = 23 + -6x

Solving
-13 + 17x + 8x2 = 23 + -6x

Solving for variable 'x'.

Reorder the terms:
-13 + -23 + 17x + 6x + 8x2 = 23 + -6x + -23 + 6x

Combine like terms: -13 + -23 = -36
-36 + 17x + 6x + 8x2 = 23 + -6x + -23 + 6x

Combine like terms: 17x + 6x = 23x
-36 + 23x + 8x2 = 23 + -6x + -23 + 6x

Reorder the terms:
-36 + 23x + 8x2 = 23 + -23 + -6x + 6x

Combine like terms: 23 + -23 = 0
-36 + 23x + 8x2 = 0 + -6x + 6x
-36 + 23x + 8x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-36 + 23x + 8x2 = 0

Factor a trinomial.
(-4 + -1x)(9 + -8x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 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 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {-4, 1.125}

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