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Simplifying (2k + -3) * x2 + -3x + -6 = 0 Reorder the terms: (-3 + 2k) * x2 + -3x + -6 = 0 Reorder the terms for easier multiplication: x2(-3 + 2k) + -3x + -6 = 0 (-3 * x2 + 2k * x2) + -3x + -6 = 0 Reorder the terms: (2kx2 + -3x2) + -3x + -6 = 0 (2kx2 + -3x2) + -3x + -6 = 0 Reorder the terms: -6 + 2kx2 + -3x + -3x2 = 0 Solving -6 + 2kx2 + -3x + -3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2kx2 + -3x + 6 + -3x2 = 0 + 6 Reorder the terms: -6 + 6 + 2kx2 + -3x + -3x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2kx2 + -3x + -3x2 = 0 + 6 2kx2 + -3x + -3x2 = 0 + 6 Combine like terms: 0 + 6 = 6 2kx2 + -3x + -3x2 = 6 Add '3x' to each side of the equation. 2kx2 + -3x + 3x + -3x2 = 6 + 3x Combine like terms: -3x + 3x = 0 2kx2 + 0 + -3x2 = 6 + 3x 2kx2 + -3x2 = 6 + 3x Add '3x2' to each side of the equation. 2kx2 + -3x2 + 3x2 = 6 + 3x + 3x2 Combine like terms: -3x2 + 3x2 = 0 2kx2 + 0 = 6 + 3x + 3x2 2kx2 = 6 + 3x + 3x2 Divide each side by '2x2'. k = 3x-2 + 1.5x-1 + 1.5 Simplifying k = 3x-2 + 1.5x-1 + 1.5 Reorder the terms: k = 1.5 + 3x-2 + 1.5x-1
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