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Simplifying 8r(9r + 8) + r(7r + 7) = 0 Reorder the terms: 8r(8 + 9r) + r(7r + 7) = 0 (8 * 8r + 9r * 8r) + r(7r + 7) = 0 (64r + 72r2) + r(7r + 7) = 0 Reorder the terms: 64r + 72r2 + r(7 + 7r) = 0 64r + 72r2 + (7 * r + 7r * r) = 0 64r + 72r2 + (7r + 7r2) = 0 Reorder the terms: 64r + 7r + 72r2 + 7r2 = 0 Combine like terms: 64r + 7r = 71r 71r + 72r2 + 7r2 = 0 Combine like terms: 72r2 + 7r2 = 79r2 71r + 79r2 = 0 Solving 71r + 79r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(71 + 79r) = 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 '(71 + 79r)' equal to zero and attempt to solve: Simplifying 71 + 79r = 0 Solving 71 + 79r = 0 Move all terms containing r to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 79r = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 79r = 0 + -71 79r = 0 + -71 Combine like terms: 0 + -71 = -71 79r = -71 Divide each side by '79'. r = -0.8987341772 Simplifying r = -0.8987341772Solution
r = {0, -0.8987341772}
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