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Simplifying 6v2 + 13vr + -63r2 = 0 Reorder the terms: 13rv + -63r2 + 6v2 = 0 Solving 13rv + -63r2 + 6v2 = 0 Solving for variable 'r'. Factor a trinomial. (-9r + -2v)(7r + -3v) = 0Subproblem 1
Set the factor '(-9r + -2v)' equal to zero and attempt to solve: Simplifying -9r + -2v = 0 Solving -9r + -2v = 0 Move all terms containing r to the left, all other terms to the right. Add '2v' to each side of the equation. -9r + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 -9r + 0 = 0 + 2v -9r = 0 + 2v Remove the zero: -9r = 2v Divide each side by '-9'. r = -0.2222222222v Simplifying r = -0.2222222222vSubproblem 2
Set the factor '(7r + -3v)' equal to zero and attempt to solve: Simplifying 7r + -3v = 0 Solving 7r + -3v = 0 Move all terms containing r to the left, all other terms to the right. Add '3v' to each side of the equation. 7r + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 7r + 0 = 0 + 3v 7r = 0 + 3v Remove the zero: 7r = 3v Divide each side by '7'. r = 0.4285714286v Simplifying r = 0.4285714286vSolution
r = {-0.2222222222v, 0.4285714286v}
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