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Simplifying 56v2 + 23vr + -63r2 = 0 Reorder the terms: 23rv + -63r2 + 56v2 = 0 Solving 23rv + -63r2 + 56v2 = 0 Solving for variable 'r'. Factor a trinomial. (-9r + -7v)(7r + -8v) = 0Subproblem 1
Set the factor '(-9r + -7v)' equal to zero and attempt to solve: Simplifying -9r + -7v = 0 Solving -9r + -7v = 0 Move all terms containing r to the left, all other terms to the right. Add '7v' to each side of the equation. -9r + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 -9r + 0 = 0 + 7v -9r = 0 + 7v Remove the zero: -9r = 7v Divide each side by '-9'. r = -0.7777777778v Simplifying r = -0.7777777778vSubproblem 2
Set the factor '(7r + -8v)' equal to zero and attempt to solve: Simplifying 7r + -8v = 0 Solving 7r + -8v = 0 Move all terms containing r to the left, all other terms to the right. Add '8v' to each side of the equation. 7r + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 7r + 0 = 0 + 8v 7r = 0 + 8v Remove the zero: 7r = 8v Divide each side by '7'. r = 1.142857143v Simplifying r = 1.142857143vSolution
r = {-0.7777777778v, 1.142857143v}
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