0=2x^2+4x-198

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Solution for 0=2x^2+4x-198 equation:


Simplifying
0 = 2x2 + 4x + -198

Reorder the terms:
0 = -198 + 4x + 2x2

Solving
0 = -198 + 4x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 198 = 198
198 + -4x + -2x2 = -198 + 4x + 2x2 + 198 + -4x + -2x2

Reorder the terms:
198 + -4x + -2x2 = -198 + 198 + 4x + -4x + 2x2 + -2x2

Combine like terms: -198 + 198 = 0
198 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2
198 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
198 + -4x + -2x2 = 0 + 2x2 + -2x2
198 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
198 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(99 + -2x + -1x2) = 0

Factor a trinomial.
2((9 + -1x)(11 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Solution

x = {9, -11}

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