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Simplifying 0 = r(7r + 210) Reorder the terms: 0 = r(210 + 7r) 0 = (210 * r + 7r * r) 0 = (210r + 7r2) Solving 0 = 210r + 7r2 Solving for variable 'r'. Remove the zero: -210r + -7r2 = 210r + 7r2 + -210r + -7r2 Reorder the terms: -210r + -7r2 = 210r + -210r + 7r2 + -7r2 Combine like terms: 210r + -210r = 0 -210r + -7r2 = 0 + 7r2 + -7r2 -210r + -7r2 = 7r2 + -7r2 Combine like terms: 7r2 + -7r2 = 0 -210r + -7r2 = 0 Factor out the Greatest Common Factor (GCF), '-7r'. -7r(30 + r) = 0 Ignore the factor -7.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 '(30 + r)' equal to zero and attempt to solve: Simplifying 30 + r = 0 Solving 30 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + r = 0 + -30 r = 0 + -30 Combine like terms: 0 + -30 = -30 r = -30 Simplifying r = -30Solution
r = {0, -30}
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