2r^2+4r-198=

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Solution for 2r^2+4r-198= equation:


Simplifying
2r2 + 4r + -198 = 0

Reorder the terms:
-198 + 4r + 2r2 = 0

Solving
-198 + 4r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-99 + 2r + r2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + -1r)' equal to zero and attempt to solve: Simplifying -11 + -1r = 0 Solving -11 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1r = 0 + 11 -1r = 0 + 11 Combine like terms: 0 + 11 = 11 -1r = 11 Divide each side by '-1'. r = -11 Simplifying r = -11

Subproblem 2

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

Solution

r = {-11, 9}

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