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Simplifying 4x2 + 11x = 25 + -4x Reorder the terms: 11x + 4x2 = 25 + -4x Solving 11x + 4x2 = 25 + -4x Solving for variable 'x'. Reorder the terms: -25 + 11x + 4x + 4x2 = 25 + -4x + -25 + 4x Combine like terms: 11x + 4x = 15x -25 + 15x + 4x2 = 25 + -4x + -25 + 4x Reorder the terms: -25 + 15x + 4x2 = 25 + -25 + -4x + 4x Combine like terms: 25 + -25 = 0 -25 + 15x + 4x2 = 0 + -4x + 4x -25 + 15x + 4x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -25 + 15x + 4x2 = 0 Factor a trinomial. (-5 + -1x)(5 + -4x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 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 = {-5, 1.25}
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