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Simplifying 2x2 + kx + -9 = 4x + -2k Reorder the terms: -9 + kx + 2x2 = 4x + -2k Reorder the terms: -9 + kx + 2x2 = -2k + 4x Solving -9 + kx + 2x2 = -2k + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -9 + kx + 2k + 2x2 = -2k + 2k + 4x Reorder the terms: -9 + 2k + kx + 2x2 = -2k + 2k + 4x Combine like terms: -2k + 2k = 0 -9 + 2k + kx + 2x2 = 0 + 4x -9 + 2k + kx + 2x2 = 4x Add '9' to each side of the equation. -9 + 2k + kx + 9 + 2x2 = 9 + 4x Reorder the terms: -9 + 9 + 2k + kx + 2x2 = 9 + 4x Combine like terms: -9 + 9 = 0 0 + 2k + kx + 2x2 = 9 + 4x 2k + kx + 2x2 = 9 + 4x Add '-2x2' to each side of the equation. 2k + kx + 2x2 + -2x2 = 9 + 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 2k + kx + 0 = 9 + 4x + -2x2 2k + kx = 9 + 4x + -2x2 Reorder the terms: -9 + 2k + kx + -4x + 2x2 = 9 + 4x + -2x2 + -9 + -4x + 2x2 Reorder the terms: -9 + 2k + kx + -4x + 2x2 = 9 + -9 + 4x + -4x + -2x2 + 2x2 Combine like terms: 9 + -9 = 0 -9 + 2k + kx + -4x + 2x2 = 0 + 4x + -4x + -2x2 + 2x2 -9 + 2k + kx + -4x + 2x2 = 4x + -4x + -2x2 + 2x2 Combine like terms: 4x + -4x = 0 -9 + 2k + kx + -4x + 2x2 = 0 + -2x2 + 2x2 -9 + 2k + kx + -4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -9 + 2k + kx + -4x + 2x2 = 0 The solution to this equation could not be determined.
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