(18x+11)(16x+7)=45173

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Solution for (18x+11)(16x+7)=45173 equation: 


Simplifying
(18x + 11)(16x + 7) = 45173

Reorder the terms:
(11 + 18x)(16x + 7) = 45173

Reorder the terms:
(11 + 18x)(7 + 16x) = 45173

Multiply (11 + 18x) * (7 + 16x)
(11(7 + 16x) + 18x * (7 + 16x)) = 45173
((7 * 11 + 16x * 11) + 18x * (7 + 16x)) = 45173
((77 + 176x) + 18x * (7 + 16x)) = 45173
(77 + 176x + (7 * 18x + 16x * 18x)) = 45173
(77 + 176x + (126x + 288x2)) = 45173

Combine like terms: 176x + 126x = 302x
(77 + 302x + 288x2) = 45173

Solving
77 + 302x + 288x2 = 45173

Solving for variable 'x'.

Reorder the terms:
77 + -45173 + 302x + 288x2 = 45173 + -45173

Combine like terms: 77 + -45173 = -45096
-45096 + 302x + 288x2 = 45173 + -45173

Combine like terms: 45173 + -45173 = 0
-45096 + 302x + 288x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-22548 + 151x + 144x2) = 0

Factor a trinomial.
2((-1879 + -144x)(12 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1879 + -144x)' equal to zero and attempt to solve:

Simplifying
-1879 + -144x = 0

Solving
-1879 + -144x = 0

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

Add '1879' to each side of the equation.
-1879 + 1879 + -144x = 0 + 1879

Combine like terms: -1879 + 1879 = 0
0 + -144x = 0 + 1879
-144x = 0 + 1879

Combine like terms: 0 + 1879 = 1879
-144x = 1879

Divide each side by '-144'.
x = -13.04861111

Simplifying
x = -13.04861111

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-13.04861111, 12}

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