2x(x+2)=198

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Solution for 2x(x+2)=198 equation:


Simplifying
2x(x + 2) = 198

Reorder the terms:
2x(2 + x) = 198
(2 * 2x + x * 2x) = 198
(4x + 2x2) = 198

Solving
4x + 2x2 = 198

Solving for variable 'x'.

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

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

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

Solution

x = {-11, 9}

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