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Simplifying 6v2 + 13vt + -63t2 = 0 Reorder the terms: 13tv + -63t2 + 6v2 = 0 Solving 13tv + -63t2 + 6v2 = 0 Solving for variable 't'. Factor a trinomial. (-9t + -2v)(7t + -3v) = 0Subproblem 1
Set the factor '(-9t + -2v)' equal to zero and attempt to solve: Simplifying -9t + -2v = 0 Solving -9t + -2v = 0 Move all terms containing t to the left, all other terms to the right. Add '2v' to each side of the equation. -9t + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 -9t + 0 = 0 + 2v -9t = 0 + 2v Remove the zero: -9t = 2v Divide each side by '-9'. t = -0.2222222222v Simplifying t = -0.2222222222vSubproblem 2
Set the factor '(7t + -3v)' equal to zero and attempt to solve: Simplifying 7t + -3v = 0 Solving 7t + -3v = 0 Move all terms containing t to the left, all other terms to the right. Add '3v' to each side of the equation. 7t + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 7t + 0 = 0 + 3v 7t = 0 + 3v Remove the zero: 7t = 3v Divide each side by '7'. t = 0.4285714286v Simplifying t = 0.4285714286vSolution
t = {-0.2222222222v, 0.4285714286v}
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