(156-2x)(104-2x)=8349

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Solution for (156-2x)(104-2x)=8349 equation: 


Simplifying
(156 + -2x)(104 + -2x) = 8349

Multiply (156 + -2x) * (104 + -2x)
(156(104 + -2x) + -2x * (104 + -2x)) = 8349
((104 * 156 + -2x * 156) + -2x * (104 + -2x)) = 8349
((16224 + -312x) + -2x * (104 + -2x)) = 8349
(16224 + -312x + (104 * -2x + -2x * -2x)) = 8349
(16224 + -312x + (-208x + 4x2)) = 8349

Combine like terms: -312x + -208x = -520x
(16224 + -520x + 4x2) = 8349

Solving
16224 + -520x + 4x2 = 8349

Solving for variable 'x'.

Reorder the terms:
16224 + -8349 + -520x + 4x2 = 8349 + -8349

Combine like terms: 16224 + -8349 = 7875
7875 + -520x + 4x2 = 8349 + -8349

Combine like terms: 8349 + -8349 = 0
7875 + -520x + 4x2 = 0

Factor a trinomial.
(35 + -2x)(225 + -2x) = 0


Subproblem 1
Set the factor '(35 + -2x)' equal to zero and attempt to solve:

Simplifying
35 + -2x = 0

Solving
35 + -2x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 0 + -35
-2x = 0 + -35

Combine like terms: 0 + -35 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

Subproblem 2
Set the factor '(225 + -2x)' equal to zero and attempt to solve:

Simplifying
225 + -2x = 0

Solving
225 + -2x = 0

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

Add '-225' to each side of the equation.
225 + -225 + -2x = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -2x = 0 + -225
-2x = 0 + -225

Combine like terms: 0 + -225 = -225
-2x = -225

Divide each side by '-2'.
x = 112.5

Simplifying
x = 112.5
Solution
x = {17.5, 112.5}

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