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Simplifying -9r(10r + 7) = 0 Reorder the terms: -9r(7 + 10r) = 0 (7 * -9r + 10r * -9r) = 0 (-63r + -90r2) = 0 Solving -63r + -90r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-9r'. -9r(7 + 10r) = 0 Ignore the factor -9.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 + 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, -0.7}
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