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Simplifying r2 + -7r * 10 = 0 Reorder the terms for easier multiplication: r2 + -7 * 10r = 0 Multiply -7 * 10 r2 + -70r = 0 Reorder the terms: -70r + r2 = 0 Solving -70r + r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-70 + r) = 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 '(-70 + r)' equal to zero and attempt to solve: Simplifying -70 + r = 0 Solving -70 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + r = 0 + 70 Combine like terms: -70 + 70 = 0 0 + r = 0 + 70 r = 0 + 70 Combine like terms: 0 + 70 = 70 r = 70 Simplifying r = 70Solution
r = {0, 70}
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