x^2-11x-19=-4x-1

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Solution for x^2-11x-19=-4x-1 equation: 


Simplifying
x2 + -11x + -19 = -4x + -1

Reorder the terms:
-19 + -11x + x2 = -4x + -1

Reorder the terms:
-19 + -11x + x2 = -1 + -4x

Solving
-19 + -11x + x2 = -1 + -4x

Solving for variable 'x'.

Reorder the terms:
-19 + 1 + -11x + 4x + x2 = -1 + -4x + 1 + 4x

Combine like terms: -19 + 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.
(-2 + -1x)(9 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-2, 9}

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