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Simplifying 3x2 + 6x + -1kx + 12 = 0 Reorder the terms: 12 + -1kx + 6x + 3x2 = 0 Solving 12 + -1kx + 6x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1kx + 6x + -12 + 3x2 = 0 + -12 Reorder the terms: 12 + -12 + -1kx + 6x + 3x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1kx + 6x + 3x2 = 0 + -12 -1kx + 6x + 3x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1kx + 6x + 3x2 = -12 Add '-6x' to each side of the equation. -1kx + 6x + -6x + 3x2 = -12 + -6x Combine like terms: 6x + -6x = 0 -1kx + 0 + 3x2 = -12 + -6x -1kx + 3x2 = -12 + -6x Add '-3x2' to each side of the equation. -1kx + 3x2 + -3x2 = -12 + -6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1kx + 0 = -12 + -6x + -3x2 -1kx = -12 + -6x + -3x2 Divide each side by '-1x'. k = 12x-1 + 6 + 3x Simplifying k = 12x-1 + 6 + 3x Reorder the terms: k = 6 + 12x-1 + 3x
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