3x^2=30+13x

Solution for 3x^2=30+13x equation:

Simplifying
3x2 = 30 + 13x

Solving
3x2 = 30 + 13x

Solving for variable 'x'.

Reorder the terms:
-30 + -13x + 3x2 = 30 + 13x + -30 + -13x

Reorder the terms:
-30 + -13x + 3x2 = 30 + -30 + 13x + -13x

Combine like terms: 30 + -30 = 0
-30 + -13x + 3x2 = 0 + 13x + -13x
-30 + -13x + 3x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
-30 + -13x + 3x2 = 0

Factor a trinomial.
(-5 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 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 + -3x = 0 + 5

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

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

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-1.666666667, 6}