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Simplifying 4x2 + 44x = 23 Reorder the terms: 44x + 4x2 = 23 Solving 44x + 4x2 = 23 Solving for variable 'x'. Reorder the terms: -23 + 44x + 4x2 = 23 + -23 Combine like terms: 23 + -23 = 0 -23 + 44x + 4x2 = 0 Factor a trinomial. (-23 + -2x)(1 + -2x) = 0Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve: Simplifying -23 + -2x = 0 Solving -23 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 0 + 23 -2x = 0 + 23 Combine like terms: 0 + 23 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-11.5, 0.5}
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