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Simplifying 5l2 + -26lx + 5x2 = 0 Reorder the terms: -26lx + 5l2 + 5x2 = 0 Solving -26lx + 5l2 + 5x2 = 0 Solving for variable 'l'. Factor a trinomial. (l + -5x)(5l + -1x) = 0Subproblem 1
Set the factor '(l + -5x)' equal to zero and attempt to solve: Simplifying l + -5x = 0 Solving l + -5x = 0 Move all terms containing l to the left, all other terms to the right. Add '5x' to each side of the equation. l + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 l + 0 = 0 + 5x l = 0 + 5x Remove the zero: l = 5x Simplifying l = 5xSubproblem 2
Set the factor '(5l + -1x)' equal to zero and attempt to solve: Simplifying 5l + -1x = 0 Solving 5l + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add 'x' to each side of the equation. 5l + -1x + x = 0 + x Combine like terms: -1x + x = 0 5l + 0 = 0 + x 5l = 0 + x Remove the zero: 5l = x Divide each side by '5'. l = 0.2x Simplifying l = 0.2xSolution
l = {5x, 0.2x}
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