2x^2+18x-17=11x-2

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Solution for 2x^2+18x-17=11x-2 equation: 


Simplifying
2x2 + 18x + -17 = 11x + -2

Reorder the terms:
-17 + 18x + 2x2 = 11x + -2

Reorder the terms:
-17 + 18x + 2x2 = -2 + 11x

Solving
-17 + 18x + 2x2 = -2 + 11x

Solving for variable 'x'.

Reorder the terms:
-17 + 2 + 18x + -11x + 2x2 = -2 + 11x + 2 + -11x

Combine like terms: -17 + 2 = -15
-15 + 18x + -11x + 2x2 = -2 + 11x + 2 + -11x

Combine like terms: 18x + -11x = 7x
-15 + 7x + 2x2 = -2 + 11x + 2 + -11x

Reorder the terms:
-15 + 7x + 2x2 = -2 + 2 + 11x + -11x

Combine like terms: -2 + 2 = 0
-15 + 7x + 2x2 = 0 + 11x + -11x
-15 + 7x + 2x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-15 + 7x + 2x2 = 0

Factor a trinomial.
(-5 + -1x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-5, 1.5}

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