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Simplifying 16x + -5 = 16x2 + -2 Reorder the terms: -5 + 16x = 16x2 + -2 Reorder the terms: -5 + 16x = -2 + 16x2 Solving -5 + 16x = -2 + 16x2 Solving for variable 'x'. Reorder the terms: -5 + 2 + 16x + -16x2 = -2 + 16x2 + 2 + -16x2 Combine like terms: -5 + 2 = -3 -3 + 16x + -16x2 = -2 + 16x2 + 2 + -16x2 Reorder the terms: -3 + 16x + -16x2 = -2 + 2 + 16x2 + -16x2 Combine like terms: -2 + 2 = 0 -3 + 16x + -16x2 = 0 + 16x2 + -16x2 -3 + 16x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -3 + 16x + -16x2 = 0 Factor a trinomial. (-3 + 4x)(1 + -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 '(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 = {0.75, 0.25}
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