5x^2+25x=36x+36

Solution for 5x^2+25x=36x+36 equation:

Simplifying
5x2 + 25x = 36x + 36

Reorder the terms:
25x + 5x2 = 36x + 36

Reorder the terms:
25x + 5x2 = 36 + 36x

Solving
25x + 5x2 = 36 + 36x

Solving for variable 'x'.

Reorder the terms:
-36 + 25x + -36x + 5x2 = 36 + 36x + -36 + -36x

Combine like terms: 25x + -36x = -11x
-36 + -11x + 5x2 = 36 + 36x + -36 + -36x

Reorder the terms:
-36 + -11x + 5x2 = 36 + -36 + 36x + -36x

Combine like terms: 36 + -36 = 0
-36 + -11x + 5x2 = 0 + 36x + -36x
-36 + -11x + 5x2 = 36x + -36x

Combine like terms: 36x + -36x = 0
-36 + -11x + 5x2 = 0

Factor a trinomial.
(-9 + -5x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve:

Simplifying
-9 + -5x = 0

Solving
-9 + -5x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 0 + 9
-5x = 0 + 9

Combine like terms: 0 + 9 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.8, 4}