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Simplifying -16x2 + 24x + 50 = 55 Reorder the terms: 50 + 24x + -16x2 = 55 Solving 50 + 24x + -16x2 = 55 Solving for variable 'x'. Reorder the terms: 50 + -55 + 24x + -16x2 = 55 + -55 Combine like terms: 50 + -55 = -5 -5 + 24x + -16x2 = 55 + -55 Combine like terms: 55 + -55 = 0 -5 + 24x + -16x2 = 0 Factor a trinomial. (-5 + 4x)(1 + -4x) = 0Subproblem 1
Set the factor '(-5 + 4x)' equal to zero and attempt to solve: Simplifying -5 + 4x = 0 Solving -5 + 4x = 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 + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 0 + 5 4x = 0 + 5 Combine like terms: 0 + 5 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {1.25, 0.25}
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