(-11x+8)(-x+(-2))=0

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Solution for (-11x+8)(-x+(-2))=0 equation:


Simplifying
(-11x + 8)(-1x + (-2)) = 0

Reorder the terms:
(8 + -11x)(-1x + (-2)) = 0
(8 + -11x)(-1x + -2) = 0

Reorder the terms:
(8 + -11x)(-2 + -1x) = 0

Multiply (8 + -11x) * (-2 + -1x)
(8(-2 + -1x) + -11x * (-2 + -1x)) = 0
((-2 * 8 + -1x * 8) + -11x * (-2 + -1x)) = 0
((-16 + -8x) + -11x * (-2 + -1x)) = 0
(-16 + -8x + (-2 * -11x + -1x * -11x)) = 0
(-16 + -8x + (22x + 11x2)) = 0

Combine like terms: -8x + 22x = 14x
(-16 + 14x + 11x2) = 0

Solving
-16 + 14x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(8 + -11x) = 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 '(8 + -11x)' equal to zero and attempt to solve:

Simplifying
8 + -11x = 0

Solving
8 + -11x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -11x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = 0 + -8
-11x = 0 + -8

Combine like terms: 0 + -8 = -8
-11x = -8

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273
Solution
x = {-2, 0.7272727273}

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