X^2+6X-3=13

Solution for X^2+6X-3=13 equation:

Simplifying
X2 + 6X + -3 = 13

Reorder the terms:
-3 + 6X + X2 = 13

Solving
-3 + 6X + X2 = 13

Solving for variable 'X'.

Reorder the terms:
-3 + -13 + 6X + X2 = 13 + -13

Combine like terms: -3 + -13 = -16
-16 + 6X + X2 = 13 + -13

Combine like terms: 13 + -13 = 0
-16 + 6X + X2 = 0

Factor a trinomial.
(-8 + -1X)(2 + -1X) = 0

Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve:

Simplifying
-8 + -1X = 0

Solving
-8 + -1X = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1X = 0 + 8
-1X = 0 + 8

Combine like terms: 0 + 8 = 8
-1X = 8

Divide each side by '-1'.
X = -8

Simplifying
X = -8
Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-8, 2}