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Simplifying 2x2 + -16x = -6x2 + -5x + -3 Reorder the terms: -16x + 2x2 = -6x2 + -5x + -3 Reorder the terms: -16x + 2x2 = -3 + -5x + -6x2 Solving -16x + 2x2 = -3 + -5x + -6x2 Solving for variable 'x'. Reorder the terms: 3 + -16x + 5x + 2x2 + 6x2 = -3 + -5x + -6x2 + 3 + 5x + 6x2 Combine like terms: -16x + 5x = -11x 3 + -11x + 2x2 + 6x2 = -3 + -5x + -6x2 + 3 + 5x + 6x2 Combine like terms: 2x2 + 6x2 = 8x2 3 + -11x + 8x2 = -3 + -5x + -6x2 + 3 + 5x + 6x2 Reorder the terms: 3 + -11x + 8x2 = -3 + 3 + -5x + 5x + -6x2 + 6x2 Combine like terms: -3 + 3 = 0 3 + -11x + 8x2 = 0 + -5x + 5x + -6x2 + 6x2 3 + -11x + 8x2 = -5x + 5x + -6x2 + 6x2 Combine like terms: -5x + 5x = 0 3 + -11x + 8x2 = 0 + -6x2 + 6x2 3 + -11x + 8x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 3 + -11x + 8x2 = 0 Factor a trinomial. (3 + -8x)(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.375, 1}
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