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Simplifying 3x2 + -16x = -2x2 + -5x + -6 Reorder the terms: -16x + 3x2 = -2x2 + -5x + -6 Reorder the terms: -16x + 3x2 = -6 + -5x + -2x2 Solving -16x + 3x2 = -6 + -5x + -2x2 Solving for variable 'x'. Reorder the terms: 6 + -16x + 5x + 3x2 + 2x2 = -6 + -5x + -2x2 + 6 + 5x + 2x2 Combine like terms: -16x + 5x = -11x 6 + -11x + 3x2 + 2x2 = -6 + -5x + -2x2 + 6 + 5x + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 6 + -11x + 5x2 = -6 + -5x + -2x2 + 6 + 5x + 2x2 Reorder the terms: 6 + -11x + 5x2 = -6 + 6 + -5x + 5x + -2x2 + 2x2 Combine like terms: -6 + 6 = 0 6 + -11x + 5x2 = 0 + -5x + 5x + -2x2 + 2x2 6 + -11x + 5x2 = -5x + 5x + -2x2 + 2x2 Combine like terms: -5x + 5x = 0 6 + -11x + 5x2 = 0 + -2x2 + 2x2 6 + -11x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 6 + -11x + 5x2 = 0 Factor a trinomial. (1 + -1x)(6 + -5x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {1, 1.2}
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