7x^2-11x+30=6x^2

Solution for 7x^2-11x+30=6x^2 equation:

Simplifying
7x2 + -11x + 30 = 6x2

Reorder the terms:
30 + -11x + 7x2 = 6x2

Solving
30 + -11x + 7x2 = 6x2

Solving for variable 'x'.

Combine like terms: 7x2 + -6x2 = 1x2
30 + -11x + 1x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
30 + -11x + 1x2 = 0

Factor a trinomial.
(5 + -1x)(6 + -1x) = 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 '(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 = {5, 6}