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Simplifying v(10x + 2) = 60x + 12 Reorder the terms: v(2 + 10x) = 60x + 12 (2 * v + 10x * v) = 60x + 12 (2v + 10vx) = 60x + 12 Reorder the terms: 2v + 10vx = 12 + 60x Solving 2v + 10vx = 12 + 60x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Reorder the terms: -12 + 2v + 10vx + -60x = 12 + 60x + -12 + -60x Reorder the terms: -12 + 2v + 10vx + -60x = 12 + -12 + 60x + -60x Combine like terms: 12 + -12 = 0 -12 + 2v + 10vx + -60x = 0 + 60x + -60x -12 + 2v + 10vx + -60x = 60x + -60x Combine like terms: 60x + -60x = 0 -12 + 2v + 10vx + -60x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + v + 5vx + -30x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + v + 5vx + -30x)' equal to zero and attempt to solve: Simplifying -6 + v + 5vx + -30x = 0 Solving -6 + v + 5vx + -30x = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + v + 5vx + 6 + -30x = 0 + 6 Reorder the terms: -6 + 6 + v + 5vx + -30x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v + 5vx + -30x = 0 + 6 v + 5vx + -30x = 0 + 6 Combine like terms: 0 + 6 = 6 v + 5vx + -30x = 6 Add '30x' to each side of the equation. v + 5vx + -30x + 30x = 6 + 30x Combine like terms: -30x + 30x = 0 v + 5vx + 0 = 6 + 30x v + 5vx = 6 + 30x 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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