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Simplifying 300r2 + -420r + 147 = 0 Reorder the terms: 147 + -420r + 300r2 = 0 Solving 147 + -420r + 300r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(49 + -140r + 100r2) = 0 Factor a trinomial. 3((7 + -10r)(7 + -10r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -10r)' equal to zero and attempt to solve: Simplifying 7 + -10r = 0 Solving 7 + -10r = 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 + -10r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10r = 0 + -7 -10r = 0 + -7 Combine like terms: 0 + -7 = -7 -10r = -7 Divide each side by '-10'. r = 0.7 Simplifying r = 0.7Subproblem 2
Set the factor '(7 + -10r)' equal to zero and attempt to solve: Simplifying 7 + -10r = 0 Solving 7 + -10r = 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 + -10r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10r = 0 + -7 -10r = 0 + -7 Combine like terms: 0 + -7 = -7 -10r = -7 Divide each side by '-10'. r = 0.7 Simplifying r = 0.7Solution
r = {0.7, 0.7}
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