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Simplifying (4x + -3tv2)(x + 2tv2) = 0 Reorder the terms: (-3tv2 + 4x)(x + 2tv2) = 0 Reorder the terms: (-3tv2 + 4x)(2tv2 + x) = 0 Multiply (-3tv2 + 4x) * (2tv2 + x) (-3tv2 * (2tv2 + x) + 4x * (2tv2 + x)) = 0 ((2tv2 * -3tv2 + x * -3tv2) + 4x * (2tv2 + x)) = 0 Reorder the terms: ((-3tv2x + -6t2v4) + 4x * (2tv2 + x)) = 0 ((-3tv2x + -6t2v4) + 4x * (2tv2 + x)) = 0 (-3tv2x + -6t2v4 + (2tv2 * 4x + x * 4x)) = 0 (-3tv2x + -6t2v4 + (8tv2x + 4x2)) = 0 Reorder the terms: (-3tv2x + 8tv2x + -6t2v4 + 4x2) = 0 Combine like terms: -3tv2x + 8tv2x = 5tv2x (5tv2x + -6t2v4 + 4x2) = 0 Solving 5tv2x + -6t2v4 + 4x2 = 0 Solving for variable 't'. Factor a trinomial. (-2tv2 + -1x)(3tv2 + -4x) = 0Subproblem 1
Set the factor '(-2tv2 + -1x)' equal to zero and attempt to solve: Simplifying -2tv2 + -1x = 0 Solving -2tv2 + -1x = 0 Move all terms containing t to the left, all other terms to the right. Add 'x' to each side of the equation. -2tv2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 -2tv2 + 0 = 0 + x -2tv2 = 0 + x Remove the zero: -2tv2 = x Divide each side by '-2v2'. t = -0.5v-2x Simplifying t = -0.5v-2xSubproblem 2
Set the factor '(3tv2 + -4x)' equal to zero and attempt to solve: Simplifying 3tv2 + -4x = 0 Solving 3tv2 + -4x = 0 Move all terms containing t to the left, all other terms to the right. Add '4x' to each side of the equation. 3tv2 + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 3tv2 + 0 = 0 + 4x 3tv2 = 0 + 4x Remove the zero: 3tv2 = 4x Divide each side by '3v2'. t = 1.333333333v-2x Simplifying t = 1.333333333v-2xSolution
t = {-0.5v-2x, 1.333333333v-2x}
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