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Simplifying -9(7r2 + -10r) + 8(7r2 + 6r) = 0 Reorder the terms: -9(-10r + 7r2) + 8(7r2 + 6r) = 0 (-10r * -9 + 7r2 * -9) + 8(7r2 + 6r) = 0 (90r + -63r2) + 8(7r2 + 6r) = 0 Reorder the terms: 90r + -63r2 + 8(6r + 7r2) = 0 90r + -63r2 + (6r * 8 + 7r2 * 8) = 0 90r + -63r2 + (48r + 56r2) = 0 Reorder the terms: 90r + 48r + -63r2 + 56r2 = 0 Combine like terms: 90r + 48r = 138r 138r + -63r2 + 56r2 = 0 Combine like terms: -63r2 + 56r2 = -7r2 138r + -7r2 = 0 Solving 138r + -7r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(138 + -7r) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(138 + -7r)' equal to zero and attempt to solve: Simplifying 138 + -7r = 0 Solving 138 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + -7r = 0 + -138 Combine like terms: 138 + -138 = 0 0 + -7r = 0 + -138 -7r = 0 + -138 Combine like terms: 0 + -138 = -138 -7r = -138 Divide each side by '-7'. r = 19.71428571 Simplifying r = 19.71428571Solution
r = {0, 19.71428571}
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