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Simplifying 0 = 5x2 + -24x + 16 Reorder the terms: 0 = 16 + -24x + 5x2 Solving 0 = 16 + -24x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -16 = -16 -16 + 24x + -5x2 = 16 + -24x + 5x2 + -16 + 24x + -5x2 Reorder the terms: -16 + 24x + -5x2 = 16 + -16 + -24x + 24x + 5x2 + -5x2 Combine like terms: 16 + -16 = 0 -16 + 24x + -5x2 = 0 + -24x + 24x + 5x2 + -5x2 -16 + 24x + -5x2 = -24x + 24x + 5x2 + -5x2 Combine like terms: -24x + 24x = 0 -16 + 24x + -5x2 = 0 + 5x2 + -5x2 -16 + 24x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -16 + 24x + -5x2 = 0 Factor a trinomial. (-4 + x)(4 + -5x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
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 = 0.8Solution
x = {4, 0.8}
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