0=2x^2+14x-196

Solution for 0=2x^2+14x-196 equation:

Simplifying
0 = 2x2 + 14x + -196

Reorder the terms:
0 = -196 + 14x + 2x2

Solving
0 = -196 + 14x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 196 = 196
196 + -14x + -2x2 = -196 + 14x + 2x2 + 196 + -14x + -2x2

Reorder the terms:
196 + -14x + -2x2 = -196 + 196 + 14x + -14x + 2x2 + -2x2

Combine like terms: -196 + 196 = 0
196 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2
196 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
196 + -14x + -2x2 = 0 + 2x2 + -2x2
196 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
196 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(98 + -7x + -1x2) = 0

Factor a trinomial.
2((7 + -1x)(14 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 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 + x = 0 + -14

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

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

Simplifying
x = -14
Solution
x = {7, -14}