=(8x+11)(5x+11)

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Solution for =(8x+11)(5x+11) equation: 


Simplifying
0 = (8x + 11)(5x + 11)

Reorder the terms:
0 = (11 + 8x)(5x + 11)

Reorder the terms:
0 = (11 + 8x)(11 + 5x)

Multiply (11 + 8x) * (11 + 5x)
0 = (11(11 + 5x) + 8x * (11 + 5x))
0 = ((11 * 11 + 5x * 11) + 8x * (11 + 5x))
0 = ((121 + 55x) + 8x * (11 + 5x))
0 = (121 + 55x + (11 * 8x + 5x * 8x))
0 = (121 + 55x + (88x + 40x2))

Combine like terms: 55x + 88x = 143x
0 = (121 + 143x + 40x2)

Solving
0 = 121 + 143x + 40x2

Solving for variable 'x'.

Combine like terms: 0 + -121 = -121
-121 + -143x + -40x2 = 121 + 143x + 40x2 + -121 + -143x + -40x2

Reorder the terms:
-121 + -143x + -40x2 = 121 + -121 + 143x + -143x + 40x2 + -40x2

Combine like terms: 121 + -121 = 0
-121 + -143x + -40x2 = 0 + 143x + -143x + 40x2 + -40x2
-121 + -143x + -40x2 = 143x + -143x + 40x2 + -40x2

Combine like terms: 143x + -143x = 0
-121 + -143x + -40x2 = 0 + 40x2 + -40x2
-121 + -143x + -40x2 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
-121 + -143x + -40x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(121 + 143x + 40x2) = 0

Factor a trinomial.
-1((11 + 5x)(11 + 8x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 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 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

Subproblem 2
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
Solution
x = {-2.2, -1.375}

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