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Simplifying 10(-3 + -2t) * v + 10 + -2(6t + -13) = 0 Reorder the terms for easier multiplication: 10v(-3 + -2t) + 10 + -2(6t + -13) = 0 (-3 * 10v + -2t * 10v) + 10 + -2(6t + -13) = 0 Reorder the terms: (-20tv + -30v) + 10 + -2(6t + -13) = 0 (-20tv + -30v) + 10 + -2(6t + -13) = 0 Reorder the terms: -20tv + -30v + 10 + -2(-13 + 6t) = 0 -20tv + -30v + 10 + (-13 * -2 + 6t * -2) = 0 -20tv + -30v + 10 + (26 + -12t) = 0 Reorder the terms: 10 + 26 + -12t + -20tv + -30v = 0 Combine like terms: 10 + 26 = 36 36 + -12t + -20tv + -30v = 0 Solving 36 + -12t + -20tv + -30v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -12t + -20tv + -36 + -30v = 0 + -36 Reorder the terms: 36 + -36 + -12t + -20tv + -30v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12t + -20tv + -30v = 0 + -36 -12t + -20tv + -30v = 0 + -36 Combine like terms: 0 + -36 = -36 -12t + -20tv + -30v = -36 Add '30v' to each side of the equation. -12t + -20tv + -30v + 30v = -36 + 30v Combine like terms: -30v + 30v = 0 -12t + -20tv + 0 = -36 + 30v -12t + -20tv = -36 + 30v Reorder the terms: 36 + -12t + -20tv + -30v = -36 + 30v + 36 + -30v Reorder the terms: 36 + -12t + -20tv + -30v = -36 + 36 + 30v + -30v Combine like terms: -36 + 36 = 0 36 + -12t + -20tv + -30v = 0 + 30v + -30v 36 + -12t + -20tv + -30v = 30v + -30v Combine like terms: 30v + -30v = 0 36 + -12t + -20tv + -30v = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -6t + -10tv + -15v) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -6t + -10tv + -15v)' equal to zero and attempt to solve: Simplifying 18 + -6t + -10tv + -15v = 0 Solving 18 + -6t + -10tv + -15v = 0 Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -6t + -10tv + -18 + -15v = 0 + -18 Reorder the terms: 18 + -18 + -6t + -10tv + -15v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6t + -10tv + -15v = 0 + -18 -6t + -10tv + -15v = 0 + -18 Combine like terms: 0 + -18 = -18 -6t + -10tv + -15v = -18 Add '15v' to each side of the equation. -6t + -10tv + -15v + 15v = -18 + 15v Combine like terms: -15v + 15v = 0 -6t + -10tv + 0 = -18 + 15v -6t + -10tv = -18 + 15v 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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