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Simplifying (3x + -4)(4v + -6) = 0 Reorder the terms: (-4 + 3x)(4v + -6) = 0 Reorder the terms: (-4 + 3x)(-6 + 4v) = 0 Multiply (-4 + 3x) * (-6 + 4v) (-4(-6 + 4v) + 3x * (-6 + 4v)) = 0 ((-6 * -4 + 4v * -4) + 3x * (-6 + 4v)) = 0 ((24 + -16v) + 3x * (-6 + 4v)) = 0 (24 + -16v + (-6 * 3x + 4v * 3x)) = 0 Reorder the terms: (24 + -16v + (12vx + -18x)) = 0 (24 + -16v + (12vx + -18x)) = 0 (24 + -16v + 12vx + -18x) = 0 Solving 24 + -16v + 12vx + -18x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -16v + 12vx + -24 + -18x = 0 + -24 Reorder the terms: 24 + -24 + -16v + 12vx + -18x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -16v + 12vx + -18x = 0 + -24 -16v + 12vx + -18x = 0 + -24 Combine like terms: 0 + -24 = -24 -16v + 12vx + -18x = -24 Add '18x' to each side of the equation. -16v + 12vx + -18x + 18x = -24 + 18x Combine like terms: -18x + 18x = 0 -16v + 12vx + 0 = -24 + 18x -16v + 12vx = -24 + 18x Reorder the terms: 24 + -16v + 12vx + -18x = -24 + 18x + 24 + -18x Reorder the terms: 24 + -16v + 12vx + -18x = -24 + 24 + 18x + -18x Combine like terms: -24 + 24 = 0 24 + -16v + 12vx + -18x = 0 + 18x + -18x 24 + -16v + 12vx + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 24 + -16v + 12vx + -18x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -8v + 6vx + -9x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -8v + 6vx + -9x)' equal to zero and attempt to solve: Simplifying 12 + -8v + 6vx + -9x = 0 Solving 12 + -8v + 6vx + -9x = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8v + 6vx + -12 + -9x = 0 + -12 Reorder the terms: 12 + -12 + -8v + 6vx + -9x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8v + 6vx + -9x = 0 + -12 -8v + 6vx + -9x = 0 + -12 Combine like terms: 0 + -12 = -12 -8v + 6vx + -9x = -12 Add '9x' to each side of the equation. -8v + 6vx + -9x + 9x = -12 + 9x Combine like terms: -9x + 9x = 0 -8v + 6vx + 0 = -12 + 9x -8v + 6vx = -12 + 9x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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