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Simplifying r2 = 2r3 + 15r2 Reorder the terms: r2 = 15r2 + 2r3 Solving r2 = 15r2 + 2r3 Solving for variable 'r'. Combine like terms: r2 + -15r2 = -14r2 -14r2 + -2r3 = 15r2 + 2r3 + -15r2 + -2r3 Reorder the terms: -14r2 + -2r3 = 15r2 + -15r2 + 2r3 + -2r3 Combine like terms: 15r2 + -15r2 = 0 -14r2 + -2r3 = 0 + 2r3 + -2r3 -14r2 + -2r3 = 2r3 + -2r3 Combine like terms: 2r3 + -2r3 = 0 -14r2 + -2r3 = 0 Factor out the Greatest Common Factor (GCF), '-2r2'. -2r2(7 + r) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 2
Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 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 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Solution
r = {0, -7}
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