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Simplifying 4x2 + -15x + 17 = 5x + -8 Reorder the terms: 17 + -15x + 4x2 = 5x + -8 Reorder the terms: 17 + -15x + 4x2 = -8 + 5x Solving 17 + -15x + 4x2 = -8 + 5x Solving for variable 'x'. Reorder the terms: 17 + 8 + -15x + -5x + 4x2 = -8 + 5x + 8 + -5x Combine like terms: 17 + 8 = 25 25 + -15x + -5x + 4x2 = -8 + 5x + 8 + -5x Combine like terms: -15x + -5x = -20x 25 + -20x + 4x2 = -8 + 5x + 8 + -5x Reorder the terms: 25 + -20x + 4x2 = -8 + 8 + 5x + -5x Combine like terms: -8 + 8 = 0 25 + -20x + 4x2 = 0 + 5x + -5x 25 + -20x + 4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 25 + -20x + 4x2 = 0 Factor a trinomial. (5 + -2x)(5 + -2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {2.5, 2.5}
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