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Simplifying 5t2 + -26tx + 5x2 = 0 Reorder the terms: -26tx + 5t2 + 5x2 = 0 Solving -26tx + 5t2 + 5x2 = 0 Solving for variable 't'. Factor a trinomial. (t + -5x)(5t + -1x) = 0Subproblem 1
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 = 5xSubproblem 2
Set the factor '(5t + -1x)' equal to zero and attempt to solve: Simplifying 5t + -1x = 0 Solving 5t + -1x = 0 Move all terms containing t to the left, all other terms to the right. Add 'x' to each side of the equation. 5t + -1x + x = 0 + x Combine like terms: -1x + x = 0 5t + 0 = 0 + x 5t = 0 + x Remove the zero: 5t = x Divide each side by '5'. t = 0.2x Simplifying t = 0.2xSolution
t = {5x, 0.2x}
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