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Simplifying 3x2 + (2k + -1) * x + 36 = 0 Reorder the terms: 3x2 + (-1 + 2k) * x + 36 = 0 Reorder the terms for easier multiplication: 3x2 + x(-1 + 2k) + 36 = 0 3x2 + (-1 * x + 2k * x) + 36 = 0 Reorder the terms: 3x2 + (2kx + -1x) + 36 = 0 3x2 + (2kx + -1x) + 36 = 0 Reorder the terms: 36 + 2kx + -1x + 3x2 = 0 Solving 36 + 2kx + -1x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 2kx + -1x + -36 + 3x2 = 0 + -36 Reorder the terms: 36 + -36 + 2kx + -1x + 3x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 2kx + -1x + 3x2 = 0 + -36 2kx + -1x + 3x2 = 0 + -36 Combine like terms: 0 + -36 = -36 2kx + -1x + 3x2 = -36 Add 'x' to each side of the equation. 2kx + -1x + x + 3x2 = -36 + x Combine like terms: -1x + x = 0 2kx + 0 + 3x2 = -36 + x 2kx + 3x2 = -36 + x Add '-3x2' to each side of the equation. 2kx + 3x2 + -3x2 = -36 + x + -3x2 Combine like terms: 3x2 + -3x2 = 0 2kx + 0 = -36 + x + -3x2 2kx = -36 + x + -3x2 Divide each side by '2x'. k = -18x-1 + 0.5 + -1.5x Simplifying k = -18x-1 + 0.5 + -1.5x Reorder the terms: k = 0.5 + -18x-1 + -1.5x
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