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Simplifying 70r + -10r3 = 0 Solving 70r + -10r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '10r'. 10r(7 + -1r2) = 0 Ignore the factor 10.Subproblem 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 '(7 + -1r2)' equal to zero and attempt to solve: Simplifying 7 + -1r2 = 0 Solving 7 + -1r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1r2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r2 = 0 + -7 -1r2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1r2 = -7 Divide each side by '-1'. r2 = 7 Simplifying r2 = 7 Take the square root of each side: r = {-2.645751311, 2.645751311}Solution
r = {0, -2.645751311, 2.645751311}
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