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Simplifying 5x2 = 24x + -16 Reorder the terms: 5x2 = -16 + 24x Solving 5x2 = -16 + 24x Solving for variable 'x'. Reorder the terms: 16 + -24x + 5x2 = -16 + 24x + 16 + -24x Reorder the terms: 16 + -24x + 5x2 = -16 + 16 + 24x + -24x Combine like terms: -16 + 16 = 0 16 + -24x + 5x2 = 0 + 24x + -24x 16 + -24x + 5x2 = 24x + -24x Combine like terms: 24x + -24x = 0 16 + -24x + 5x2 = 0 Factor a trinomial. (4 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.8, 4}
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