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Simplifying (R + 9)(R + -15) = 0 Reorder the terms: (9 + R)(R + -15) = 0 Reorder the terms: (9 + R)(-15 + R) = 0 Multiply (9 + R) * (-15 + R) (9(-15 + R) + R(-15 + R)) = 0 ((-15 * 9 + R * 9) + R(-15 + R)) = 0 ((-135 + 9R) + R(-15 + R)) = 0 (-135 + 9R + (-15 * R + R * R)) = 0 (-135 + 9R + (-15R + R2)) = 0 Combine like terms: 9R + -15R = -6R (-135 + -6R + R2) = 0 Solving -135 + -6R + R2 = 0 Solving for variable 'R'. Factor a trinomial. (-9 + -1R)(15 + -1R) = 0Subproblem 1
Set the factor '(-9 + -1R)' equal to zero and attempt to solve: Simplifying -9 + -1R = 0 Solving -9 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1R = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1R = 0 + 9 -1R = 0 + 9 Combine like terms: 0 + 9 = 9 -1R = 9 Divide each side by '-1'. R = -9 Simplifying R = -9Subproblem 2
Set the factor '(15 + -1R)' equal to zero and attempt to solve: Simplifying 15 + -1R = 0 Solving 15 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1R = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1R = 0 + -15 -1R = 0 + -15 Combine like terms: 0 + -15 = -15 -1R = -15 Divide each side by '-1'. R = 15 Simplifying R = 15Solution
R = {-9, 15}
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