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Simplifying -9(2r2 + -2r) + (10r2 + 10r) = 0 Reorder the terms: -9(-2r + 2r2) + (10r2 + 10r) = 0 (-2r * -9 + 2r2 * -9) + (10r2 + 10r) = 0 (18r + -18r2) + (10r2 + 10r) = 0 Reorder the terms: 18r + -18r2 + (10r + 10r2) = 0 Remove parenthesis around (10r + 10r2) 18r + -18r2 + 10r + 10r2 = 0 Reorder the terms: 18r + 10r + -18r2 + 10r2 = 0 Combine like terms: 18r + 10r = 28r 28r + -18r2 + 10r2 = 0 Combine like terms: -18r2 + 10r2 = -8r2 28r + -8r2 = 0 Solving 28r + -8r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(7 + -2r) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(7 + -2r)' equal to zero and attempt to solve: Simplifying 7 + -2r = 0 Solving 7 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 0 + -7 -2r = 0 + -7 Combine like terms: 0 + -7 = -7 -2r = -7 Divide each side by '-2'. r = 3.5 Simplifying r = 3.5Solution
r = {0, 3.5}
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