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Simplifying 36v2 + 84vt + 49t2 = 0 Reorder the terms: 84tv + 49t2 + 36v2 = 0 Solving 84tv + 49t2 + 36v2 = 0 Solving for variable 't'. Factor a trinomial. (7t + 6v)(7t + 6v) = 0Subproblem 1
Set the factor '(7t + 6v)' equal to zero and attempt to solve: Simplifying 7t + 6v = 0 Solving 7t + 6v = 0 Move all terms containing t to the left, all other terms to the right. Add '-6v' to each side of the equation. 7t + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 7t + 0 = 0 + -6v 7t = 0 + -6v Remove the zero: 7t = -6v Divide each side by '7'. t = -0.8571428571v Simplifying t = -0.8571428571vSubproblem 2
Set the factor '(7t + 6v)' equal to zero and attempt to solve: Simplifying 7t + 6v = 0 Solving 7t + 6v = 0 Move all terms containing t to the left, all other terms to the right. Add '-6v' to each side of the equation. 7t + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 7t + 0 = 0 + -6v 7t = 0 + -6v Remove the zero: 7t = -6v Divide each side by '7'. t = -0.8571428571v Simplifying t = -0.8571428571vSolution
t = {-0.8571428571v, -0.8571428571v}
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