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Simplifying 24x2 + 41x = 65 Reorder the terms: 41x + 24x2 = 65 Solving 41x + 24x2 = 65 Solving for variable 'x'. Reorder the terms: -65 + 41x + 24x2 = 65 + -65 Combine like terms: 65 + -65 = 0 -65 + 41x + 24x2 = 0 Factor a trinomial. (-65 + -24x)(1 + -1x) = 0Subproblem 1
Set the factor '(-65 + -24x)' equal to zero and attempt to solve: Simplifying -65 + -24x = 0 Solving -65 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -24x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -24x = 0 + 65 -24x = 0 + 65 Combine like terms: 0 + 65 = 65 -24x = 65 Divide each side by '-24'. x = -2.708333333 Simplifying x = -2.708333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-2.708333333, 1}
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