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Simplifying 15t2 + -7tv + -2v2 = 0 Reorder the terms: -7tv + 15t2 + -2v2 = 0 Solving -7tv + 15t2 + -2v2 = 0 Solving for variable 't'. Factor a trinomial. (3t + -2v)(5t + v) = 0Subproblem 1
Set the factor '(3t + -2v)' equal to zero and attempt to solve: Simplifying 3t + -2v = 0 Solving 3t + -2v = 0 Move all terms containing t to the left, all other terms to the right. Add '2v' to each side of the equation. 3t + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 3t + 0 = 0 + 2v 3t = 0 + 2v Remove the zero: 3t = 2v Divide each side by '3'. t = 0.6666666667v Simplifying t = 0.6666666667vSubproblem 2
Set the factor '(5t + v)' equal to zero and attempt to solve: Simplifying 5t + v = 0 Solving 5t + v = 0 Move all terms containing t to the left, all other terms to the right. Add '-1v' to each side of the equation. 5t + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 5t + 0 = 0 + -1v 5t = 0 + -1v Remove the zero: 5t = -1v Divide each side by '5'. t = -0.2v Simplifying t = -0.2vSolution
t = {0.6666666667v, -0.2v}
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