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Simplifying (3x + -8v)(3x + -8v) = 0 Reorder the terms: (-8v + 3x)(3x + -8v) = 0 Reorder the terms: (-8v + 3x)(-8v + 3x) = 0 Multiply (-8v + 3x) * (-8v + 3x) (-8v * (-8v + 3x) + 3x * (-8v + 3x)) = 0 ((-8v * -8v + 3x * -8v) + 3x * (-8v + 3x)) = 0 Reorder the terms: ((-24vx + 64v2) + 3x * (-8v + 3x)) = 0 ((-24vx + 64v2) + 3x * (-8v + 3x)) = 0 (-24vx + 64v2 + (-8v * 3x + 3x * 3x)) = 0 (-24vx + 64v2 + (-24vx + 9x2)) = 0 Reorder the terms: (-24vx + -24vx + 64v2 + 9x2) = 0 Combine like terms: -24vx + -24vx = -48vx (-48vx + 64v2 + 9x2) = 0 Solving -48vx + 64v2 + 9x2 = 0 Solving for variable 'v'. Factor a trinomial. (8v + -3x)(8v + -3x) = 0Subproblem 1
Set the factor '(8v + -3x)' equal to zero and attempt to solve: Simplifying 8v + -3x = 0 Solving 8v + -3x = 0 Move all terms containing v to the left, all other terms to the right. Add '3x' to each side of the equation. 8v + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 8v + 0 = 0 + 3x 8v = 0 + 3x Remove the zero: 8v = 3x Divide each side by '8'. v = 0.375x Simplifying v = 0.375xSubproblem 2
Set the factor '(8v + -3x)' equal to zero and attempt to solve: Simplifying 8v + -3x = 0 Solving 8v + -3x = 0 Move all terms containing v to the left, all other terms to the right. Add '3x' to each side of the equation. 8v + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 8v + 0 = 0 + 3x 8v = 0 + 3x Remove the zero: 8v = 3x Divide each side by '8'. v = 0.375x Simplifying v = 0.375xSolution
v = {0.375x, 0.375x}
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