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Simplifying r2 + -2r = 40 + 4r Reorder the terms: -2r + r2 = 40 + 4r Solving -2r + r2 = 40 + 4r Solving for variable 'r'. Reorder the terms: -40 + -2r + -4r + r2 = 40 + 4r + -40 + -4r Combine like terms: -2r + -4r = -6r -40 + -6r + r2 = 40 + 4r + -40 + -4r Reorder the terms: -40 + -6r + r2 = 40 + -40 + 4r + -4r Combine like terms: 40 + -40 = 0 -40 + -6r + r2 = 0 + 4r + -4r -40 + -6r + r2 = 4r + -4r Combine like terms: 4r + -4r = 0 -40 + -6r + r2 = 0 Factor a trinomial. (-4 + -1r)(10 + -1r) = 0Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve: Simplifying -4 + -1r = 0 Solving -4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 0 + 4 -1r = 0 + 4 Combine like terms: 0 + 4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4Subproblem 2
Set the factor '(10 + -1r)' equal to zero and attempt to solve: Simplifying 10 + -1r = 0 Solving 10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 0 + -10 -1r = 0 + -10 Combine like terms: 0 + -10 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10Solution
r = {-4, 10}
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