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Simplifying 56r2 + 23rv + -63v2 = 0 Reorder the terms: 23rv + 56r2 + -63v2 = 0 Solving 23rv + 56r2 + -63v2 = 0 Solving for variable 'r'. Factor a trinomial. (8r + -7v)(7r + 9v) = 0Subproblem 1
Set the factor '(8r + -7v)' equal to zero and attempt to solve: Simplifying 8r + -7v = 0 Solving 8r + -7v = 0 Move all terms containing r to the left, all other terms to the right. Add '7v' to each side of the equation. 8r + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 8r + 0 = 0 + 7v 8r = 0 + 7v Remove the zero: 8r = 7v Divide each side by '8'. r = 0.875v Simplifying r = 0.875vSubproblem 2
Set the factor '(7r + 9v)' equal to zero and attempt to solve: Simplifying 7r + 9v = 0 Solving 7r + 9v = 0 Move all terms containing r to the left, all other terms to the right. Add '-9v' to each side of the equation. 7r + 9v + -9v = 0 + -9v Combine like terms: 9v + -9v = 0 7r + 0 = 0 + -9v 7r = 0 + -9v Remove the zero: 7r = -9v Divide each side by '7'. r = -1.285714286v Simplifying r = -1.285714286vSolution
r = {0.875v, -1.285714286v}
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