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Simplifying 2v2 + 11vr + -63r2 = 0 Reorder the terms: 11rv + -63r2 + 2v2 = 0 Solving 11rv + -63r2 + 2v2 = 0 Solving for variable 'r'. Factor a trinomial. (-9r + -1v)(7r + -2v) = 0Subproblem 1
Set the factor '(-9r + -1v)' equal to zero and attempt to solve: Simplifying -9r + -1v = 0 Solving -9r + -1v = 0 Move all terms containing r to the left, all other terms to the right. Add 'v' to each side of the equation. -9r + -1v + v = 0 + v Combine like terms: -1v + v = 0 -9r + 0 = 0 + v -9r = 0 + v Remove the zero: -9r = v Divide each side by '-9'. r = -0.1111111111v Simplifying r = -0.1111111111vSubproblem 2
Set the factor '(7r + -2v)' equal to zero and attempt to solve: Simplifying 7r + -2v = 0 Solving 7r + -2v = 0 Move all terms containing r to the left, all other terms to the right. Add '2v' to each side of the equation. 7r + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 7r + 0 = 0 + 2v 7r = 0 + 2v Remove the zero: 7r = 2v Divide each side by '7'. r = 0.2857142857v Simplifying r = 0.2857142857vSolution
r = {-0.1111111111v, 0.2857142857v}
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