x^2+4x-14=-7x-2

Solution for x^2+4x-14=-7x-2 equation:

Simplifying
x2 + 4x + -14 = -7x + -2

Reorder the terms:
-14 + 4x + x2 = -7x + -2

Reorder the terms:
-14 + 4x + x2 = -2 + -7x

Solving
-14 + 4x + x2 = -2 + -7x

Solving for variable 'x'.

Reorder the terms:
-14 + 2 + 4x + 7x + x2 = -2 + -7x + 2 + 7x

Combine like terms: -14 + 2 = -12
-12 + 4x + 7x + x2 = -2 + -7x + 2 + 7x

Combine like terms: 4x + 7x = 11x
-12 + 11x + x2 = -2 + -7x + 2 + 7x

Reorder the terms:
-12 + 11x + x2 = -2 + 2 + -7x + 7x

Combine like terms: -2 + 2 = 0
-12 + 11x + x2 = 0 + -7x + 7x
-12 + 11x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 11x + x2 = 0

Factor a trinomial.
(-12 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
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 = {-12, 1}