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Simplifying 25x2 + -24x = 16x + -16 Reorder the terms: -24x + 25x2 = 16x + -16 Reorder the terms: -24x + 25x2 = -16 + 16x Solving -24x + 25x2 = -16 + 16x Solving for variable 'x'. Reorder the terms: 16 + -24x + -16x + 25x2 = -16 + 16x + 16 + -16x Combine like terms: -24x + -16x = -40x 16 + -40x + 25x2 = -16 + 16x + 16 + -16x Reorder the terms: 16 + -40x + 25x2 = -16 + 16 + 16x + -16x Combine like terms: -16 + 16 = 0 16 + -40x + 25x2 = 0 + 16x + -16x 16 + -40x + 25x2 = 16x + -16x Combine like terms: 16x + -16x = 0 16 + -40x + 25x2 = 0 Factor a trinomial. (4 + -5x)(4 + -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 '(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 = {0.8, 0.8}
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