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Simplifying (R + -4)(3R + -2) = 0 Reorder the terms: (-4 + R)(3R + -2) = 0 Reorder the terms: (-4 + R)(-2 + 3R) = 0 Multiply (-4 + R) * (-2 + 3R) (-4(-2 + 3R) + R(-2 + 3R)) = 0 ((-2 * -4 + 3R * -4) + R(-2 + 3R)) = 0 ((8 + -12R) + R(-2 + 3R)) = 0 (8 + -12R + (-2 * R + 3R * R)) = 0 (8 + -12R + (-2R + 3R2)) = 0 Combine like terms: -12R + -2R = -14R (8 + -14R + 3R2) = 0 Solving 8 + -14R + 3R2 = 0 Solving for variable 'R'. Factor a trinomial. (2 + -3R)(4 + -1R) = 0Subproblem 1
Set the factor '(2 + -3R)' equal to zero and attempt to solve: Simplifying 2 + -3R = 0 Solving 2 + -3R = 0 Move all terms containing R to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3R = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3R = 0 + -2 -3R = 0 + -2 Combine like terms: 0 + -2 = -2 -3R = -2 Divide each side by '-3'. R = 0.6666666667 Simplifying R = 0.6666666667Subproblem 2
Set the factor '(4 + -1R)' equal to zero and attempt to solve: Simplifying 4 + -1R = 0 Solving 4 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1R = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1R = 0 + -4 -1R = 0 + -4 Combine like terms: 0 + -4 = -4 -1R = -4 Divide each side by '-1'. R = 4 Simplifying R = 4Solution
R = {0.6666666667, 4}
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