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Simplifying (4r3 + 3r3) + -1(r4 + -5r3) = 0 Combine like terms: 4r3 + 3r3 = 7r3 (7r3) + -1(r4 + -5r3) = 0 (7r3) + -1(r4 + -5r3) = 0 Reorder the terms: (7r3) + -1(-5r3 + r4) = 0 (7r3) + (-5r3 * -1 + r4 * -1) = 0 (7r3) + (5r3 + -1r4) = 0 Combine like terms: (7r3) + 5r3 = 12r3 12r3 + -1r4 = 0 Solving 12r3 + -1r4 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r3'. r3(12 + -1r) = 0Subproblem 1
Set the factor 'r3' equal to zero and attempt to solve: Simplifying r3 = 0 Solving r3 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(12 + -1r)' equal to zero and attempt to solve: Simplifying 12 + -1r = 0 Solving 12 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 0 + -12 -1r = 0 + -12 Combine like terms: 0 + -12 = -12 -1r = -12 Divide each side by '-1'. r = 12 Simplifying r = 12Solution
r = {12}
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