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Simplifying 8x(2x + -5) = -25 Reorder the terms: 8x(-5 + 2x) = -25 (-5 * 8x + 2x * 8x) = -25 (-40x + 16x2) = -25 Solving -40x + 16x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + -40x + 16x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -40x + 16x2 = 0 Factor a trinomial. (5 + -4x)(5 + -4x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {1.25, 1.25}
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