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Simplifying 4x2 + -96x + 215 = 0 Reorder the terms: 215 + -96x + 4x2 = 0 Solving 215 + -96x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(43 + -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 '(43 + -2x)' equal to zero and attempt to solve: Simplifying 43 + -2x = 0 Solving 43 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -2x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -2x = 0 + -43 -2x = 0 + -43 Combine like terms: 0 + -43 = -43 -2x = -43 Divide each side by '-2'. x = 21.5 Simplifying x = 21.5Solution
x = {2.5, 21.5}
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