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Simplifying 30s2 + 19sv + -63v2 = 0 Reorder the terms: 19sv + 30s2 + -63v2 = 0 Solving 19sv + 30s2 + -63v2 = 0 Solving for variable 's'. Factor a trinomial. (6s + -7v)(5s + 9v) = 0Subproblem 1
Set the factor '(6s + -7v)' equal to zero and attempt to solve: Simplifying 6s + -7v = 0 Solving 6s + -7v = 0 Move all terms containing s to the left, all other terms to the right. Add '7v' to each side of the equation. 6s + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 6s + 0 = 0 + 7v 6s = 0 + 7v Remove the zero: 6s = 7v Divide each side by '6'. s = 1.166666667v Simplifying s = 1.166666667vSubproblem 2
Set the factor '(5s + 9v)' equal to zero and attempt to solve: Simplifying 5s + 9v = 0 Solving 5s + 9v = 0 Move all terms containing s to the left, all other terms to the right. Add '-9v' to each side of the equation. 5s + 9v + -9v = 0 + -9v Combine like terms: 9v + -9v = 0 5s + 0 = 0 + -9v 5s = 0 + -9v Remove the zero: 5s = -9v Divide each side by '5'. s = -1.8v Simplifying s = -1.8vSolution
s = {1.166666667v, -1.8v}
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