(15+2x)(13+2x)=360

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Solution for (15+2x)(13+2x)=360 equation: 


Simplifying
(15 + 2x)(13 + 2x) = 360

Multiply (15 + 2x) * (13 + 2x)
(15(13 + 2x) + 2x * (13 + 2x)) = 360
((13 * 15 + 2x * 15) + 2x * (13 + 2x)) = 360
((195 + 30x) + 2x * (13 + 2x)) = 360
(195 + 30x + (13 * 2x + 2x * 2x)) = 360
(195 + 30x + (26x + 4x2)) = 360

Combine like terms: 30x + 26x = 56x
(195 + 56x + 4x2) = 360

Solving
195 + 56x + 4x2 = 360

Solving for variable 'x'.

Reorder the terms:
195 + -360 + 56x + 4x2 = 360 + -360

Combine like terms: 195 + -360 = -165
-165 + 56x + 4x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-165 + 56x + 4x2 = 0

Factor a trinomial.
(-33 + -2x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-33 + -2x)' equal to zero and attempt to solve:

Simplifying
-33 + -2x = 0

Solving
-33 + -2x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -2x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -2x = 0 + 33
-2x = 0 + 33

Combine like terms: 0 + 33 = 33
-2x = 33

Divide each side by '-2'.
x = -16.5

Simplifying
x = -16.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-16.5, 2.5}

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