(3x-5)*x=232

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Solution for (3x-5)*x=232 equation: 


Simplifying
(3x + -5) * x = 232

Reorder the terms:
(-5 + 3x) * x = 232

Reorder the terms for easier multiplication:
x(-5 + 3x) = 232
(-5 * x + 3x * x) = 232
(-5x + 3x2) = 232

Solving
-5x + 3x2 = 232

Solving for variable 'x'.

Reorder the terms:
-232 + -5x + 3x2 = 232 + -232

Combine like terms: 232 + -232 = 0
-232 + -5x + 3x2 = 0

Factor a trinomial.
(-8 + -1x)(29 + -3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(29 + -3x)' equal to zero and attempt to solve:

Simplifying
29 + -3x = 0

Solving
29 + -3x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -3x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 0 + -29
-3x = 0 + -29

Combine like terms: 0 + -29 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667
Solution
x = {-8, 9.666666667}

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