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Simplifying t2 + -7tx + -30x2 = 0 Reorder the terms: -7tx + t2 + -30x2 = 0 Solving -7tx + t2 + -30x2 = 0 Solving for variable 't'. Factor a trinomial. (t + -10x)(t + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying t + 3x = 0 Solving t + 3x = 0 Move all terms containing t to the left, all other terms to the right. Add '-3x' to each side of the equation. t + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 t + 0 = 0 + -3x t = 0 + -3x Remove the zero: t = -3x Simplifying t = -3xSolution
t = {10x, -3x}
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