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Simplifying 2x2 + -36x + 3kx + 9 = 0 Reorder the terms: 9 + 3kx + -36x + 2x2 = 0 Solving 9 + 3kx + -36x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3kx + -36x + -9 + 2x2 = 0 + -9 Reorder the terms: 9 + -9 + 3kx + -36x + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3kx + -36x + 2x2 = 0 + -9 3kx + -36x + 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 3kx + -36x + 2x2 = -9 Add '36x' to each side of the equation. 3kx + -36x + 36x + 2x2 = -9 + 36x Combine like terms: -36x + 36x = 0 3kx + 0 + 2x2 = -9 + 36x 3kx + 2x2 = -9 + 36x Add '-2x2' to each side of the equation. 3kx + 2x2 + -2x2 = -9 + 36x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3kx + 0 = -9 + 36x + -2x2 3kx = -9 + 36x + -2x2 Divide each side by '3x'. k = -3x-1 + 12 + -0.6666666667x Simplifying k = -3x-1 + 12 + -0.6666666667x Reorder the terms: k = 12 + -3x-1 + -0.6666666667x
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