x(3x-2)=85

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Solution for x(3x-2)=85 equation: 


Simplifying
x(3x + -2) = 85

Reorder the terms:
x(-2 + 3x) = 85
(-2 * x + 3x * x) = 85
(-2x + 3x2) = 85

Solving
-2x + 3x2 = 85

Solving for variable 'x'.

Reorder the terms:
-85 + -2x + 3x2 = 85 + -85

Combine like terms: 85 + -85 = 0
-85 + -2x + 3x2 = 0

Factor a trinomial.
(-5 + -1x)(17 + -3x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(17 + -3x)' equal to zero and attempt to solve:

Simplifying
17 + -3x = 0

Solving
17 + -3x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 0 + -17
-3x = 0 + -17

Combine like terms: 0 + -17 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667
Solution
x = {-5, 5.666666667}

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