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Simplifying 6x2 + -3(k + -1) * x + 2 = 0 Reorder the terms: 6x2 + -3(-1 + k) * x + 2 = 0 Reorder the terms for easier multiplication: 6x2 + -3x(-1 + k) + 2 = 0 6x2 + (-1 * -3x + k * -3x) + 2 = 0 Reorder the terms: 6x2 + (-3kx + 3x) + 2 = 0 6x2 + (-3kx + 3x) + 2 = 0 Reorder the terms: 2 + -3kx + 3x + 6x2 = 0 Solving 2 + -3kx + 3x + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3kx + 3x + -2 + 6x2 = 0 + -2 Reorder the terms: 2 + -2 + -3kx + 3x + 6x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3kx + 3x + 6x2 = 0 + -2 -3kx + 3x + 6x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3kx + 3x + 6x2 = -2 Add '-3x' to each side of the equation. -3kx + 3x + -3x + 6x2 = -2 + -3x Combine like terms: 3x + -3x = 0 -3kx + 0 + 6x2 = -2 + -3x -3kx + 6x2 = -2 + -3x Add '-6x2' to each side of the equation. -3kx + 6x2 + -6x2 = -2 + -3x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -3kx + 0 = -2 + -3x + -6x2 -3kx = -2 + -3x + -6x2 Divide each side by '-3x'. k = 0.6666666667x-1 + 1 + 2x Simplifying k = 0.6666666667x-1 + 1 + 2x Reorder the terms: k = 1 + 0.6666666667x-1 + 2x
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