(3x-8)*(x+11)=0

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Solution for (3x-8)*(x+11)=0 equation: 


Simplifying
(3x + -8)(x + 11) = 0

Reorder the terms:
(-8 + 3x)(x + 11) = 0

Reorder the terms:
(-8 + 3x)(11 + x) = 0

Multiply (-8 + 3x) * (11 + x)
(-8(11 + x) + 3x * (11 + x)) = 0
((11 * -8 + x * -8) + 3x * (11 + x)) = 0
((-88 + -8x) + 3x * (11 + x)) = 0
(-88 + -8x + (11 * 3x + x * 3x)) = 0
(-88 + -8x + (33x + 3x2)) = 0

Combine like terms: -8x + 33x = 25x
(-88 + 25x + 3x2) = 0

Solving
-88 + 25x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -1x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-11, 2.666666667}

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