25x^2-30x+9=36x^2

Solution for 25x^2-30x+9=36x^2 equation:

Simplifying
25x2 + -30x + 9 = 36x2

Reorder the terms:
9 + -30x + 25x2 = 36x2

Solving
9 + -30x + 25x2 = 36x2

Solving for variable 'x'.

Combine like terms: 25x2 + -36x2 = -11x2
9 + -30x + -11x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
9 + -30x + -11x2 = 0

Factor a trinomial.
(3 + -11x)(3 + x) = 0

Subproblem 1
Set the factor '(3 + -11x)' equal to zero and attempt to solve:

Simplifying
3 + -11x = 0

Solving
3 + -11x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -11x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = 0 + -3
-11x = 0 + -3

Combine like terms: 0 + -3 = -3
-11x = -3

Divide each side by '-11'.
x = 0.2727272727

Simplifying
x = 0.2727272727
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {0.2727272727, -3}