4x^2+36x-15=25

Solution for 4x^2+36x-15=25 equation:

Simplifying
4x2 + 36x + -15 = 25

Reorder the terms:
-15 + 36x + 4x2 = 25

Solving
-15 + 36x + 4x2 = 25

Solving for variable 'x'.

Reorder the terms:
-15 + -25 + 36x + 4x2 = 25 + -25

Combine like terms: -15 + -25 = -40
-40 + 36x + 4x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-40 + 36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + 9x + x2) = 0

Factor a trinomial.
4((-10 + -1x)(1 + -1x)) = 0

Ignore the factor 4.
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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-10, 1}