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Simplifying 7r2 + -25r + -12 = 0 Reorder the terms: -12 + -25r + 7r2 = 0 Solving -12 + -25r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (-3 + -7r)(4 + -1r) = 0Subproblem 1
Set the factor '(-3 + -7r)' equal to zero and attempt to solve: Simplifying -3 + -7r = 0 Solving -3 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7r = 0 + 3 -7r = 0 + 3 Combine like terms: 0 + 3 = 3 -7r = 3 Divide each side by '-7'. r = -0.4285714286 Simplifying r = -0.4285714286Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 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 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-0.4285714286, 4}
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