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Simplifying tx + -1ux = 3tforx Solving tx + -1ux = 3fortx Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3fortx' to each side of the equation. tx + -3fortx + -1ux = 3fortx + -3fortx Reorder the terms: -3fortx + tx + -1ux = 3fortx + -3fortx Combine like terms: 3fortx + -3fortx = 0 -3fortx + tx + -1ux = 0 Add 'ux' to each side of the equation. -3fortx + tx + -1ux + ux = 0 + ux Combine like terms: -1ux + ux = 0 -3fortx + tx + 0 = 0 + ux -3fortx + tx = 0 + ux Remove the zero: -3fortx + tx = ux Combine like terms: ux + -1ux = 0 -3fortx + tx + -1ux = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3fort + t + -1u) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing t to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-3fort + t + -1u)' equal to zero and attempt to solve: Simplifying -3fort + t + -1u = 0 Solving -3fort + t + -1u = 0 Move all terms containing t to the left, all other terms to the right. Add 'u' to each side of the equation. -3fort + t + -1u + u = 0 + u Combine like terms: -1u + u = 0 -3fort + t + 0 = 0 + u -3fort + t = 0 + u Remove the zero: -3fort + t = u 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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