180=((x*x)-5x)+13x

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Solution for 180=((x*x)-5x)+13x equation: 


Simplifying
180 = ((x * x) + -5x) + 13x

Multiply x * x
180 = ((x2) + -5x) + 13x
180 = (x2 + -5x) + 13x

Reorder the terms:
180 = (-5x + x2) + 13x

Remove parenthesis around (-5x + x2)
180 = -5x + x2 + 13x

Reorder the terms:
180 = -5x + 13x + x2

Combine like terms: -5x + 13x = 8x
180 = 8x + x2

Solving
180 = 8x + x2

Solving for variable 'x'.

Reorder the terms:
180 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
180 + -8x + -1x2 = 0 + x2 + -1x2
180 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
180 + -8x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(18 + x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {10, -18}

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