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Simplifying 81v4 + -1t4 = 0 Reorder the terms: -1t4 + 81v4 = 0 Solving -1t4 + 81v4 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-81v4' to each side of the equation. -1t4 + 81v4 + -81v4 = 0 + -81v4 Combine like terms: 81v4 + -81v4 = 0 -1t4 + 0 = 0 + -81v4 -1t4 = 0 + -81v4 Remove the zero: -1t4 = -81v4 Divide each side by '-1'. t4 = 81v4 Simplifying t4 = 81v4 Combine like terms: 81v4 + -81v4 = 0 t4 + -81v4 = 0 Factor a difference between two squares. (t2 + 9v2)(t2 + -9v2) = 0 Factor a difference between two squares. (t2 + 9v2)((t + 3v)(t + -3v)) = 0Subproblem 1
Set the factor '(t2 + 9v2)' equal to zero and attempt to solve: Simplifying t2 + 9v2 = 0 Solving t2 + 9v2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-9v2' to each side of the equation. t2 + 9v2 + -9v2 = 0 + -9v2 Combine like terms: 9v2 + -9v2 = 0 t2 + 0 = 0 + -9v2 t2 = 0 + -9v2 Remove the zero: t2 = -9v2 Simplifying t2 = -9v2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(t + 3v)' equal to zero and attempt to solve: Simplifying t + 3v = 0 Solving t + 3v = 0 Move all terms containing t to the left, all other terms to the right. Add '-3v' to each side of the equation. t + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 t + 0 = 0 + -3v t = 0 + -3v Remove the zero: t = -3v Simplifying t = -3vSubproblem 3
Set the factor '(t + -3v)' equal to zero and attempt to solve: Simplifying t + -3v = 0 Solving t + -3v = 0 Move all terms containing t to the left, all other terms to the right. Add '3v' to each side of the equation. t + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 t + 0 = 0 + 3v t = 0 + 3v Remove the zero: t = 3v Simplifying t = 3vSolution
t = {-3v, 3v}
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