(3x-11)(x+2)=28

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Solution for (3x-11)(x+2)=28 equation: 


Simplifying
(3x + -11)(x + 2) = 28

Reorder the terms:
(-11 + 3x)(x + 2) = 28

Reorder the terms:
(-11 + 3x)(2 + x) = 28

Multiply (-11 + 3x) * (2 + x)
(-11(2 + x) + 3x * (2 + x)) = 28
((2 * -11 + x * -11) + 3x * (2 + x)) = 28
((-22 + -11x) + 3x * (2 + x)) = 28
(-22 + -11x + (2 * 3x + x * 3x)) = 28
(-22 + -11x + (6x + 3x2)) = 28

Combine like terms: -11x + 6x = -5x
(-22 + -5x + 3x2) = 28

Solving
-22 + -5x + 3x2 = 28

Solving for variable 'x'.

Reorder the terms:
-22 + -28 + -5x + 3x2 = 28 + -28

Combine like terms: -22 + -28 = -50
-50 + -5x + 3x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-50 + -5x + 3x2 = 0

Factor a trinomial.
(-10 + -3x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-3.333333333, 5}

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