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Simplifying 56r2 + -23r = 63 Reorder the terms: -23r + 56r2 = 63 Solving -23r + 56r2 = 63 Solving for variable 'r'. Reorder the terms: -63 + -23r + 56r2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -23r + 56r2 = 0 Factor a trinomial. (-7 + -8r)(9 + -7r) = 0Subproblem 1
Set the factor '(-7 + -8r)' equal to zero and attempt to solve: Simplifying -7 + -8r = 0 Solving -7 + -8r = 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 + -8r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8r = 0 + 7 -8r = 0 + 7 Combine like terms: 0 + 7 = 7 -8r = 7 Divide each side by '-8'. r = -0.875 Simplifying r = -0.875Subproblem 2
Set the factor '(9 + -7r)' equal to zero and attempt to solve: Simplifying 9 + -7r = 0 Solving 9 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7r = 0 + -9 -7r = 0 + -9 Combine like terms: 0 + -9 = -9 -7r = -9 Divide each side by '-7'. r = 1.285714286 Simplifying r = 1.285714286Solution
r = {-0.875, 1.285714286}
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