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Simplifying 0 = 16x2 + 2x + -3 Reorder the terms: 0 = -3 + 2x + 16x2 Solving 0 = -3 + 2x + 16x2 Solving for variable 'x'. Combine like terms: 0 + 3 = 3 3 + -2x + -16x2 = -3 + 2x + 16x2 + 3 + -2x + -16x2 Reorder the terms: 3 + -2x + -16x2 = -3 + 3 + 2x + -2x + 16x2 + -16x2 Combine like terms: -3 + 3 = 0 3 + -2x + -16x2 = 0 + 2x + -2x + 16x2 + -16x2 3 + -2x + -16x2 = 2x + -2x + 16x2 + -16x2 Combine like terms: 2x + -2x = 0 3 + -2x + -16x2 = 0 + 16x2 + -16x2 3 + -2x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 3 + -2x + -16x2 = 0 Factor a trinomial. (3 + -8x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0.375, -0.5}
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