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Simplifying 24x2 = 113x + 80 Reorder the terms: 24x2 = 80 + 113x Solving 24x2 = 80 + 113x Solving for variable 'x'. Reorder the terms: -80 + -113x + 24x2 = 80 + 113x + -80 + -113x Reorder the terms: -80 + -113x + 24x2 = 80 + -80 + 113x + -113x Combine like terms: 80 + -80 = 0 -80 + -113x + 24x2 = 0 + 113x + -113x -80 + -113x + 24x2 = 113x + -113x Combine like terms: 113x + -113x = 0 -80 + -113x + 24x2 = 0 Factor a trinomial. (-5 + -8x)(16 + -3x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 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 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(16 + -3x)' equal to zero and attempt to solve: Simplifying 16 + -3x = 0 Solving 16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 0 + -16 -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {-0.625, 5.333333333}
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