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Simplifying 30r2 + -35r + 24r + -28 = 0 Reorder the terms: -28 + -35r + 24r + 30r2 = 0 Combine like terms: -35r + 24r = -11r -28 + -11r + 30r2 = 0 Solving -28 + -11r + 30r2 = 0 Solving for variable 'r'. Factor a trinomial. (-4 + -5r)(7 + -6r) = 0Subproblem 1
Set the factor '(-4 + -5r)' equal to zero and attempt to solve: Simplifying -4 + -5r = 0 Solving -4 + -5r = 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 + -5r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5r = 0 + 4 -5r = 0 + 4 Combine like terms: 0 + 4 = 4 -5r = 4 Divide each side by '-5'. r = -0.8 Simplifying r = -0.8Subproblem 2
Set the factor '(7 + -6r)' equal to zero and attempt to solve: Simplifying 7 + -6r = 0 Solving 7 + -6r = 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 + -6r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = 0 + -7 -6r = 0 + -7 Combine like terms: 0 + -7 = -7 -6r = -7 Divide each side by '-6'. r = 1.166666667 Simplifying r = 1.166666667Solution
r = {-0.8, 1.166666667}
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