(5x-32)x=180

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Solution for (5x-32)x=180 equation: 


Simplifying
(5x + -32) * x = 180

Reorder the terms:
(-32 + 5x) * x = 180

Reorder the terms for easier multiplication:
x(-32 + 5x) = 180
(-32 * x + 5x * x) = 180
(-32x + 5x2) = 180

Solving
-32x + 5x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -32x + 5x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -32x + 5x2 = 0

Factor a trinomial.
(-18 + -5x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-18 + -5x)' equal to zero and attempt to solve:

Simplifying
-18 + -5x = 0

Solving
-18 + -5x = 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 + -5x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = 0 + 18
-5x = 0 + 18

Combine like terms: 0 + 18 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

Subproblem 2
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
Solution
x = {-3.6, 10}

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