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Simplifying (2k + -5) * x2 + -2(k + -1) * x + 3 = 0 Reorder the terms: (-5 + 2k) * x2 + -2(k + -1) * x + 3 = 0 Reorder the terms for easier multiplication: x2(-5 + 2k) + -2(k + -1) * x + 3 = 0 (-5 * x2 + 2k * x2) + -2(k + -1) * x + 3 = 0 Reorder the terms: (2kx2 + -5x2) + -2(k + -1) * x + 3 = 0 (2kx2 + -5x2) + -2(k + -1) * x + 3 = 0 Reorder the terms: 2kx2 + -5x2 + -2(-1 + k) * x + 3 = 0 Reorder the terms for easier multiplication: 2kx2 + -5x2 + -2x(-1 + k) + 3 = 0 2kx2 + -5x2 + (-1 * -2x + k * -2x) + 3 = 0 Reorder the terms: 2kx2 + -5x2 + (-2kx + 2x) + 3 = 0 2kx2 + -5x2 + (-2kx + 2x) + 3 = 0 Reorder the terms: 3 + -2kx + 2kx2 + 2x + -5x2 = 0 Solving 3 + -2kx + 2kx2 + 2x + -5x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2kx + 2kx2 + 2x + -3 + -5x2 = 0 + -3 Reorder the terms: 3 + -3 + -2kx + 2kx2 + 2x + -5x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2kx + 2kx2 + 2x + -5x2 = 0 + -3 -2kx + 2kx2 + 2x + -5x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2kx + 2kx2 + 2x + -5x2 = -3 Add '-2x' to each side of the equation. -2kx + 2kx2 + 2x + -2x + -5x2 = -3 + -2x Combine like terms: 2x + -2x = 0 -2kx + 2kx2 + 0 + -5x2 = -3 + -2x -2kx + 2kx2 + -5x2 = -3 + -2x Add '5x2' to each side of the equation. -2kx + 2kx2 + -5x2 + 5x2 = -3 + -2x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -2kx + 2kx2 + 0 = -3 + -2x + 5x2 -2kx + 2kx2 = -3 + -2x + 5x2 Reorder the terms: 3 + -2kx + 2kx2 + 2x + -5x2 = -3 + -2x + 5x2 + 3 + 2x + -5x2 Reorder the terms: 3 + -2kx + 2kx2 + 2x + -5x2 = -3 + 3 + -2x + 2x + 5x2 + -5x2 Combine like terms: -3 + 3 = 0 3 + -2kx + 2kx2 + 2x + -5x2 = 0 + -2x + 2x + 5x2 + -5x2 3 + -2kx + 2kx2 + 2x + -5x2 = -2x + 2x + 5x2 + -5x2 Combine like terms: -2x + 2x = 0 3 + -2kx + 2kx2 + 2x + -5x2 = 0 + 5x2 + -5x2 3 + -2kx + 2kx2 + 2x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 3 + -2kx + 2kx2 + 2x + -5x2 = 0 The solution to this equation could not be determined.
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