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Simplifying 0 = 2tx + t2 Solving 0 = 2tx + t2 Solving for variable 't'. Remove the zero: -2tx + -1t2 = 2tx + t2 + -2tx + -1t2 Reorder the terms: -2tx + -1t2 = 2tx + -2tx + t2 + -1t2 Combine like terms: 2tx + -2tx = 0 -2tx + -1t2 = 0 + t2 + -1t2 -2tx + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -2tx + -1t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(2x + t) = 0 Ignore the factor -1.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(2x + t)' equal to zero and attempt to solve: Simplifying 2x + t = 0 Reorder the terms: t + 2x = 0 Solving t + 2x = 0 Move all terms containing t to the left, all other terms to the right. Add '-2x' to each side of the equation. t + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 t + 0 = 0 + -2x t = 0 + -2x Remove the zero: t = -2x Simplifying t = -2xSolution
t = {0, -2x}
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