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Simplifying 104 = (150 + -25x) * x Reorder the terms for easier multiplication: 104 = x(150 + -25x) 104 = (150 * x + -25x * x) 104 = (150x + -25x2) Solving 104 = 150x + -25x2 Solving for variable 'x'. Reorder the terms: 104 + -150x + 25x2 = 150x + -150x + -25x2 + 25x2 Combine like terms: 150x + -150x = 0 104 + -150x + 25x2 = 0 + -25x2 + 25x2 104 + -150x + 25x2 = -25x2 + 25x2 Combine like terms: -25x2 + 25x2 = 0 104 + -150x + 25x2 = 0 Factor a trinomial. (4 + -5x)(26 + -5x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(26 + -5x)' equal to zero and attempt to solve: Simplifying 26 + -5x = 0 Solving 26 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -5x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 0 + -26 -5x = 0 + -26 Combine like terms: 0 + -26 = -26 -5x = -26 Divide each side by '-5'. x = 5.2 Simplifying x = 5.2Solution
x = {0.8, 5.2}
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