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Simplifying (R + -4)(2r + 6) = 0 Reorder the terms: (-4 + R)(2r + 6) = 0 Reorder the terms: (-4 + R)(6 + 2r) = 0 Multiply (-4 + R) * (6 + 2r) (-4(6 + 2r) + R(6 + 2r)) = 0 ((6 * -4 + 2r * -4) + R(6 + 2r)) = 0 ((-24 + -8r) + R(6 + 2r)) = 0 (-24 + -8r + (6 * R + 2r * R)) = 0 (-24 + -8r + (6R + 2rR)) = 0 Reorder the terms: (-24 + 6R + -8r + 2rR) = 0 (-24 + 6R + -8r + 2rR) = 0 Solving -24 + 6R + -8r + 2rR = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6R + -8r + 24 + 2rR = 0 + 24 Reorder the terms: -24 + 24 + 6R + -8r + 2rR = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6R + -8r + 2rR = 0 + 24 6R + -8r + 2rR = 0 + 24 Combine like terms: 0 + 24 = 24 6R + -8r + 2rR = 24 Add '8r' to each side of the equation. 6R + -8r + 8r + 2rR = 24 + 8r Combine like terms: -8r + 8r = 0 6R + 0 + 2rR = 24 + 8r 6R + 2rR = 24 + 8r Reorder the terms: -24 + 6R + -8r + 2rR = 24 + 8r + -24 + -8r Reorder the terms: -24 + 6R + -8r + 2rR = 24 + -24 + 8r + -8r Combine like terms: 24 + -24 = 0 -24 + 6R + -8r + 2rR = 0 + 8r + -8r -24 + 6R + -8r + 2rR = 8r + -8r Combine like terms: 8r + -8r = 0 -24 + 6R + -8r + 2rR = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 3R + -4r + rR) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 3R + -4r + rR)' equal to zero and attempt to solve: Simplifying -12 + 3R + -4r + rR = 0 Solving -12 + 3R + -4r + rR = 0 Move all terms containing R to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3R + -4r + 12 + rR = 0 + 12 Reorder the terms: -12 + 12 + 3R + -4r + rR = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3R + -4r + rR = 0 + 12 3R + -4r + rR = 0 + 12 Combine like terms: 0 + 12 = 12 3R + -4r + rR = 12 Add '4r' to each side of the equation. 3R + -4r + 4r + rR = 12 + 4r Combine like terms: -4r + 4r = 0 3R + 0 + rR = 12 + 4r 3R + rR = 12 + 4r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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