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Simplifying 2x2 + kx + -3x + 3k + -5 = 0 Reorder the terms: -5 + 3k + kx + -3x + 2x2 = 0 Solving -5 + 3k + kx + -3x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3k + kx + -3x + 5 + 2x2 = 0 + 5 Reorder the terms: -5 + 5 + 3k + kx + -3x + 2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3k + kx + -3x + 2x2 = 0 + 5 3k + kx + -3x + 2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 3k + kx + -3x + 2x2 = 5 Add '3x' to each side of the equation. 3k + kx + -3x + 3x + 2x2 = 5 + 3x Combine like terms: -3x + 3x = 0 3k + kx + 0 + 2x2 = 5 + 3x 3k + kx + 2x2 = 5 + 3x Add '-2x2' to each side of the equation. 3k + kx + 2x2 + -2x2 = 5 + 3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3k + kx + 0 = 5 + 3x + -2x2 3k + kx = 5 + 3x + -2x2 Reorder the terms: -5 + 3k + kx + -3x + 2x2 = 5 + 3x + -2x2 + -5 + -3x + 2x2 Reorder the terms: -5 + 3k + kx + -3x + 2x2 = 5 + -5 + 3x + -3x + -2x2 + 2x2 Combine like terms: 5 + -5 = 0 -5 + 3k + kx + -3x + 2x2 = 0 + 3x + -3x + -2x2 + 2x2 -5 + 3k + kx + -3x + 2x2 = 3x + -3x + -2x2 + 2x2 Combine like terms: 3x + -3x = 0 -5 + 3k + kx + -3x + 2x2 = 0 + -2x2 + 2x2 -5 + 3k + kx + -3x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -5 + 3k + kx + -3x + 2x2 = 0 The solution to this equation could not be determined.
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