R^2-R-156=0

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Solution for R^2-R-156=0 equation:


Simplifying
R2 + -1R + -156 = 0

Reorder the terms:
-156 + -1R + R2 = 0

Solving
-156 + -1R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(-12 + -1R)(13 + -1R) = 0

Subproblem 1

Set the factor '(-12 + -1R)' equal to zero and attempt to solve: Simplifying -12 + -1R = 0 Solving -12 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1R = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1R = 0 + 12 -1R = 0 + 12 Combine like terms: 0 + 12 = 12 -1R = 12 Divide each side by '-1'. R = -12 Simplifying R = -12

Subproblem 2

Set the factor '(13 + -1R)' equal to zero and attempt to solve: Simplifying 13 + -1R = 0 Solving 13 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1R = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1R = 0 + -13 -1R = 0 + -13 Combine like terms: 0 + -13 = -13 -1R = -13 Divide each side by '-1'. R = 13 Simplifying R = 13

Solution

R = {-12, 13}

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