x^2+15x-30=3x-2

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Solution for x^2+15x-30=3x-2 equation: 


Simplifying
x2 + 15x + -30 = 3x + -2

Reorder the terms:
-30 + 15x + x2 = 3x + -2

Reorder the terms:
-30 + 15x + x2 = -2 + 3x

Solving
-30 + 15x + x2 = -2 + 3x

Solving for variable 'x'.

Reorder the terms:
-30 + 2 + 15x + -3x + x2 = -2 + 3x + 2 + -3x

Combine like terms: -30 + 2 = -28
-28 + 15x + -3x + x2 = -2 + 3x + 2 + -3x

Combine like terms: 15x + -3x = 12x
-28 + 12x + x2 = -2 + 3x + 2 + -3x

Reorder the terms:
-28 + 12x + x2 = -2 + 2 + 3x + -3x

Combine like terms: -2 + 2 = 0
-28 + 12x + x2 = 0 + 3x + -3x
-28 + 12x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 12x + x2 = 0

Factor a trinomial.
(-14 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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 = {-14, 2}

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