(11-8x)(3x+7)=0

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Solution for (11-8x)(3x+7)=0 equation: 


Simplifying
(11 + -8x)(3x + 7) = 0

Reorder the terms:
(11 + -8x)(7 + 3x) = 0

Multiply (11 + -8x) * (7 + 3x)
(11(7 + 3x) + -8x * (7 + 3x)) = 0
((7 * 11 + 3x * 11) + -8x * (7 + 3x)) = 0
((77 + 33x) + -8x * (7 + 3x)) = 0
(77 + 33x + (7 * -8x + 3x * -8x)) = 0
(77 + 33x + (-56x + -24x2)) = 0

Combine like terms: 33x + -56x = -23x
(77 + -23x + -24x2) = 0

Solving
77 + -23x + -24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -8x)(7 + 3x) = 0


Subproblem 1
Set the factor '(11 + -8x)' equal to zero and attempt to solve:

Simplifying
11 + -8x = 0

Solving
11 + -8x = 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 + -8x = 0 + -11

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

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

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {1.375, -2.333333333}

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