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Simplifying (kx2) + (-10k + -6)(x) + 108 = 0 kx2 + (-10k + -6)(x) + 108 = 0 Reorder the terms: kx2 + (-6 + -10k)(x) + 108 = 0 Reorder the terms for easier multiplication: kx2 + x(-6 + -10k) + 108 = 0 kx2 + (-6 * x + -10k * x) + 108 = 0 Reorder the terms: kx2 + (-10kx + -6x) + 108 = 0 kx2 + (-10kx + -6x) + 108 = 0 Reorder the terms: 108 + -10kx + kx2 + -6x = 0 Solving 108 + -10kx + kx2 + -6x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -10kx + kx2 + -108 + -6x = 0 + -108 Reorder the terms: 108 + -108 + -10kx + kx2 + -6x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -10kx + kx2 + -6x = 0 + -108 -10kx + kx2 + -6x = 0 + -108 Combine like terms: 0 + -108 = -108 -10kx + kx2 + -6x = -108 Add '6x' to each side of the equation. -10kx + kx2 + -6x + 6x = -108 + 6x Combine like terms: -6x + 6x = 0 -10kx + kx2 + 0 = -108 + 6x -10kx + kx2 = -108 + 6x Reorder the terms: 108 + -10kx + kx2 + -6x = -108 + 6x + 108 + -6x Reorder the terms: 108 + -10kx + kx2 + -6x = -108 + 108 + 6x + -6x Combine like terms: -108 + 108 = 0 108 + -10kx + kx2 + -6x = 0 + 6x + -6x 108 + -10kx + kx2 + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 108 + -10kx + kx2 + -6x = 0 The solution to this equation could not be determined.
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