180=(3x-7)x

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Solution for 180=(3x-7)x equation: 


Simplifying
180 = (3x + -7) * x

Reorder the terms:
180 = (-7 + 3x) * x

Reorder the terms for easier multiplication:
180 = x(-7 + 3x)
180 = (-7 * x + 3x * x)
180 = (-7x + 3x2)

Solving
180 = -7x + 3x2

Solving for variable 'x'.

Reorder the terms:
180 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
180 + 7x + -3x2 = 0 + 3x2 + -3x2
180 + 7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
180 + 7x + -3x2 = 0

Factor a trinomial.
(9 + -1x)(20 + 3x) = 0


Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(20 + 3x)' equal to zero and attempt to solve:

Simplifying
20 + 3x = 0

Solving
20 + 3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 0 + -20
3x = 0 + -20

Combine like terms: 0 + -20 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667
Solution
x = {9, -6.666666667}

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