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Simplifying 23x = 5x2 + 24 Reorder the terms: 23x = 24 + 5x2 Solving 23x = 24 + 5x2 Solving for variable 'x'. Reorder the terms: -24 + 23x + -5x2 = 24 + 5x2 + -24 + -5x2 Reorder the terms: -24 + 23x + -5x2 = 24 + -24 + 5x2 + -5x2 Combine like terms: 24 + -24 = 0 -24 + 23x + -5x2 = 0 + 5x2 + -5x2 -24 + 23x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -24 + 23x + -5x2 = 0 Factor a trinomial. (-3 + x)(8 + -5x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {3, 1.6}
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