2x^2+17x-9=(x+9)

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Solution for 2x^2+17x-9=(x+9) equation: 


Simplifying
2x2 + 17x + -9 = (x + 9)

Reorder the terms:
-9 + 17x + 2x2 = (x + 9)

Reorder the terms:
-9 + 17x + 2x2 = (9 + x)

Remove parenthesis around (9 + x)
-9 + 17x + 2x2 = 9 + x

Solving
-9 + 17x + 2x2 = 9 + x

Solving for variable 'x'.

Reorder the terms:
-9 + -9 + 17x + -1x + 2x2 = 9 + x + -9 + -1x

Combine like terms: -9 + -9 = -18
-18 + 17x + -1x + 2x2 = 9 + x + -9 + -1x

Combine like terms: 17x + -1x = 16x
-18 + 16x + 2x2 = 9 + x + -9 + -1x

Reorder the terms:
-18 + 16x + 2x2 = 9 + -9 + x + -1x

Combine like terms: 9 + -9 = 0
-18 + 16x + 2x2 = 0 + x + -1x
-18 + 16x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-18 + 16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 8x + x2) = 0

Factor a trinomial.
2((-9 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-9, 1}

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