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Simplifying 7r2 + -12r = 4 Reorder the terms: -12r + 7r2 = 4 Solving -12r + 7r2 = 4 Solving for variable 'r'. Reorder the terms: -4 + -12r + 7r2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -12r + 7r2 = 0 Factor a trinomial. (-2 + -7r)(2 + -1r) = 0Subproblem 1
Set the factor '(-2 + -7r)' equal to zero and attempt to solve: Simplifying -2 + -7r = 0 Solving -2 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7r = 0 + 2 -7r = 0 + 2 Combine like terms: 0 + 2 = 2 -7r = 2 Divide each side by '-7'. r = -0.2857142857 Simplifying r = -0.2857142857Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {-0.2857142857, 2}
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