x(3x-1)=310

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Solution for x(3x-1)=310 equation: 


Simplifying
x(3x + -1) = 310

Reorder the terms:
x(-1 + 3x) = 310
(-1 * x + 3x * x) = 310
(-1x + 3x2) = 310

Solving
-1x + 3x2 = 310

Solving for variable 'x'.

Reorder the terms:
-310 + -1x + 3x2 = 310 + -310

Combine like terms: 310 + -310 = 0
-310 + -1x + 3x2 = 0

Factor a trinomial.
(-10 + -1x)(31 + -3x) = 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 '(31 + -3x)' equal to zero and attempt to solve:

Simplifying
31 + -3x = 0

Solving
31 + -3x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -3x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -3x = 0 + -31
-3x = 0 + -31

Combine like terms: 0 + -31 = -31
-3x = -31

Divide each side by '-3'.
x = 10.33333333

Simplifying
x = 10.33333333
Solution
x = {-10, 10.33333333}

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