X^2-2X-15=(X+3)

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Solution for X^2-2X-15=(X+3) equation: 


Simplifying
X2 + -2X + -15 = (X + 3)

Reorder the terms:
-15 + -2X + X2 = (X + 3)

Reorder the terms:
-15 + -2X + X2 = (3 + X)

Remove parenthesis around (3 + X)
-15 + -2X + X2 = 3 + X

Solving
-15 + -2X + X2 = 3 + X

Solving for variable 'X'.

Reorder the terms:
-15 + -3 + -2X + -1X + X2 = 3 + X + -3 + -1X

Combine like terms: -15 + -3 = -18
-18 + -2X + -1X + X2 = 3 + X + -3 + -1X

Combine like terms: -2X + -1X = -3X
-18 + -3X + X2 = 3 + X + -3 + -1X

Reorder the terms:
-18 + -3X + X2 = 3 + -3 + X + -1X

Combine like terms: 3 + -3 = 0
-18 + -3X + X2 = 0 + X + -1X
-18 + -3X + X2 = X + -1X

Combine like terms: X + -1X = 0
-18 + -3X + X2 = 0

Factor a trinomial.
(-3 + -1X)(6 + -1X) = 0


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

Simplifying
-3 + -1X = 0

Solving
-3 + -1X = 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 + -1X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1X = 0 + 3
-1X = 0 + 3

Combine like terms: 0 + 3 = 3
-1X = 3

Divide each side by '-1'.
X = -3

Simplifying
X = -3

Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6
Solution
X = {-3, 6}

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