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Simplifying 30v2 + 19vr + -63r2 = 0 Reorder the terms: 19rv + -63r2 + 30v2 = 0 Solving 19rv + -63r2 + 30v2 = 0 Solving for variable 'r'. Factor a trinomial. (-9r + -5v)(7r + -6v) = 0Subproblem 1
Set the factor '(-9r + -5v)' equal to zero and attempt to solve: Simplifying -9r + -5v = 0 Solving -9r + -5v = 0 Move all terms containing r to the left, all other terms to the right. Add '5v' to each side of the equation. -9r + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 -9r + 0 = 0 + 5v -9r = 0 + 5v Remove the zero: -9r = 5v Divide each side by '-9'. r = -0.5555555556v Simplifying r = -0.5555555556vSubproblem 2
Set the factor '(7r + -6v)' equal to zero and attempt to solve: Simplifying 7r + -6v = 0 Solving 7r + -6v = 0 Move all terms containing r to the left, all other terms to the right. Add '6v' to each side of the equation. 7r + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 7r + 0 = 0 + 6v 7r = 0 + 6v Remove the zero: 7r = 6v Divide each side by '7'. r = 0.8571428571v Simplifying r = 0.8571428571vSolution
r = {-0.5555555556v, 0.8571428571v}
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