(50+x)(32+x)=2320

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Solution for (50+x)(32+x)=2320 equation: 


Simplifying
(50 + x)(32 + x) = 2320

Multiply (50 + x) * (32 + x)
(50(32 + x) + x(32 + x)) = 2320
((32 * 50 + x * 50) + x(32 + x)) = 2320
((1600 + 50x) + x(32 + x)) = 2320
(1600 + 50x + (32 * x + x * x)) = 2320
(1600 + 50x + (32x + x2)) = 2320

Combine like terms: 50x + 32x = 82x
(1600 + 82x + x2) = 2320

Solving
1600 + 82x + x2 = 2320

Solving for variable 'x'.

Reorder the terms:
1600 + -2320 + 82x + x2 = 2320 + -2320

Combine like terms: 1600 + -2320 = -720
-720 + 82x + x2 = 2320 + -2320

Combine like terms: 2320 + -2320 = 0
-720 + 82x + x2 = 0

Factor a trinomial.
(-90 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve:

Simplifying
-90 + -1x = 0

Solving
-90 + -1x = 0

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

Add '90' to each side of the equation.
-90 + 90 + -1x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -1x = 0 + 90
-1x = 0 + 90

Combine like terms: 0 + 90 = 90
-1x = 90

Divide each side by '-1'.
x = -90

Simplifying
x = -90

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-90, 8}

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