x^2+20x-15=6

Solution for x^2+20x-15=6 equation:

Simplifying
x2 + 20x + -15 = 6

Reorder the terms:
-15 + 20x + x2 = 6

Solving
-15 + 20x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
-15 + -6 + 20x + x2 = 6 + -6

Combine like terms: -15 + -6 = -21
-21 + 20x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-21 + 20x + x2 = 0

Factor a trinomial.
(-21 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
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 = {-21, 1}