8x^2+22x-17=11-3x

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Solution for 8x^2+22x-17=11-3x equation: 


Simplifying
8x2 + 22x + -17 = 11 + -3x

Reorder the terms:
-17 + 22x + 8x2 = 11 + -3x

Solving
-17 + 22x + 8x2 = 11 + -3x

Solving for variable 'x'.

Reorder the terms:
-17 + -11 + 22x + 3x + 8x2 = 11 + -3x + -11 + 3x

Combine like terms: -17 + -11 = -28
-28 + 22x + 3x + 8x2 = 11 + -3x + -11 + 3x

Combine like terms: 22x + 3x = 25x
-28 + 25x + 8x2 = 11 + -3x + -11 + 3x

Reorder the terms:
-28 + 25x + 8x2 = 11 + -11 + -3x + 3x

Combine like terms: 11 + -11 = 0
-28 + 25x + 8x2 = 0 + -3x + 3x
-28 + 25x + 8x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 25x + 8x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -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 '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875
Solution
x = {-4, 0.875}

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