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Simplifying 0 = 25x2 + -10x + -24 Reorder the terms: 0 = -24 + -10x + 25x2 Solving 0 = -24 + -10x + 25x2 Solving for variable 'x'. Combine like terms: 0 + 24 = 24 24 + 10x + -25x2 = -24 + -10x + 25x2 + 24 + 10x + -25x2 Reorder the terms: 24 + 10x + -25x2 = -24 + 24 + -10x + 10x + 25x2 + -25x2 Combine like terms: -24 + 24 = 0 24 + 10x + -25x2 = 0 + -10x + 10x + 25x2 + -25x2 24 + 10x + -25x2 = -10x + 10x + 25x2 + -25x2 Combine like terms: -10x + 10x = 0 24 + 10x + -25x2 = 0 + 25x2 + -25x2 24 + 10x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 24 + 10x + -25x2 = 0 Factor a trinomial. (6 + -5x)(4 + 5x) = 0Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 2
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 = -0.8Solution
x = {1.2, -0.8}
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