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Simplifying -16x2 + 24x + 50 = 59 Reorder the terms: 50 + 24x + -16x2 = 59 Solving 50 + 24x + -16x2 = 59 Solving for variable 'x'. Reorder the terms: 50 + -59 + 24x + -16x2 = 59 + -59 Combine like terms: 50 + -59 = -9 -9 + 24x + -16x2 = 59 + -59 Combine like terms: 59 + -59 = 0 -9 + 24x + -16x2 = 0 Factor a trinomial. (-3 + 4x)(3 + -4x) = 0Subproblem 1
Set the factor '(-3 + 4x)' equal to zero and attempt to solve: Simplifying -3 + 4x = 0 Solving -3 + 4x = 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 + 4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 0 + 3 4x = 0 + 3 Combine like terms: 0 + 3 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0.75, 0.75}
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