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Simplifying Factorised(3t + 1)(t + -2) = 0 Reorder the terms: acdeiorstF(1 + 3t)(t + -2) = 0 Reorder the terms: acdeiorstF(1 + 3t)(-2 + t) = 0 Multiply (1 + 3t) * (-2 + t) acdeiorstF(1(-2 + t) + 3t * (-2 + t)) = 0 acdeiorstF((-2 * 1 + t * 1) + 3t * (-2 + t)) = 0 acdeiorstF((-2 + 1t) + 3t * (-2 + t)) = 0 acdeiorstF(-2 + 1t + (-2 * 3t + t * 3t)) = 0 acdeiorstF(-2 + 1t + (-6t + 3t2)) = 0 Combine like terms: 1t + -6t = -5t acdeiorstF(-2 + -5t + 3t2) = 0 (-2 * acdeiorstF + -5t * acdeiorstF + 3t2 * acdeiorstF) = 0 (-2acdeiorstF + -5acdeiorst2F + 3acdeiorst3F) = 0 Solving -2acdeiorstF + -5acdeiorst2F + 3acdeiorst3F = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'acdeiorstF'. acdeiorstF(-2 + -5t + 3t2) = 0 Factor a trinomial. acdeiorstF((-1 + -3t)(2 + -1t)) = 0Subproblem 1
Set the factor 'acdeiorstF' equal to zero and attempt to solve: Simplifying acdeiorstF = 0 Solving acdeiorstF = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acdeiorstF = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -3t)' equal to zero and attempt to solve: Simplifying -1 + -3t = 0 Solving -1 + -3t = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = 0 + 1 -3t = 0 + 1 Combine like terms: 0 + 1 = 1 -3t = 1 Add '3t' to each side of the equation. -3t + 3t = 1 + 3t Combine like terms: -3t + 3t = 0 0 = 1 + 3t Simplifying 0 = 1 + 3t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Add 't' to each side of the equation. -1t + t = -2 + t Combine like terms: -1t + t = 0 0 = -2 + t Simplifying 0 = -2 + t 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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