x^2+11x-17=4x+1

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Solution for x^2+11x-17=4x+1 equation: 


Simplifying
x2 + 11x + -17 = 4x + 1

Reorder the terms:
-17 + 11x + x2 = 4x + 1

Reorder the terms:
-17 + 11x + x2 = 1 + 4x

Solving
-17 + 11x + x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
-17 + -1 + 11x + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: -17 + -1 = -18
-18 + 11x + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: 11x + -4x = 7x
-18 + 7x + x2 = 1 + 4x + -1 + -4x

Reorder the terms:
-18 + 7x + x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
-18 + 7x + x2 = 0 + 4x + -4x
-18 + 7x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 7x + x2 = 0

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


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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-9, 2}

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