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Simplifying t2 + -5tx + -50x2 = 0 Reorder the terms: -5tx + t2 + -50x2 = 0 Solving -5tx + t2 + -50x2 = 0 Solving for variable 't'. Factor a trinomial. (t + -10x)(t + 5x) = 0Subproblem 1
Set the factor '(t + -10x)' equal to zero and attempt to solve: Simplifying t + -10x = 0 Solving t + -10x = 0 Move all terms containing t to the left, all other terms to the right. Add '10x' to each side of the equation. t + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 t + 0 = 0 + 10x t = 0 + 10x Remove the zero: t = 10x Simplifying t = 10xSubproblem 2
Set the factor '(t + 5x)' equal to zero and attempt to solve: Simplifying t + 5x = 0 Solving t + 5x = 0 Move all terms containing t to the left, all other terms to the right. Add '-5x' to each side of the equation. t + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 t + 0 = 0 + -5x t = 0 + -5x Remove the zero: t = -5x Simplifying t = -5xSolution
t = {10x, -5x}
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