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Simplifying 2s(t + -7) + -6t(s + 4) = 0 Reorder the terms: 2s(-7 + t) + -6t(s + 4) = 0 (-7 * 2s + t * 2s) + -6t(s + 4) = 0 (-14s + 2st) + -6t(s + 4) = 0 Reorder the terms: -14s + 2st + -6t(4 + s) = 0 -14s + 2st + (4 * -6t + s * -6t) = 0 Reorder the terms: -14s + 2st + (-6st + -24t) = 0 -14s + 2st + (-6st + -24t) = 0 Combine like terms: 2st + -6st = -4st -14s + -4st + -24t = 0 Solving -14s + -4st + -24t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24t' to each side of the equation. -14s + -4st + -24t + 24t = 0 + 24t Combine like terms: -24t + 24t = 0 -14s + -4st + 0 = 0 + 24t -14s + -4st = 0 + 24t Remove the zero: -14s + -4st = 24t Combine like terms: 24t + -24t = 0 -14s + -4st + -24t = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(7s + 2st + 12t) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(7s + 2st + 12t)' equal to zero and attempt to solve: Simplifying 7s + 2st + 12t = 0 Solving 7s + 2st + 12t = 0 Move all terms containing s to the left, all other terms to the right. Add '-12t' to each side of the equation. 7s + 2st + 12t + -12t = 0 + -12t Combine like terms: 12t + -12t = 0 7s + 2st + 0 = 0 + -12t 7s + 2st = 0 + -12t Remove the zero: 7s + 2st = -12t 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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