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Simplifying 2kx2 + 5x + 12 = 0 Reorder the terms: 12 + 2kx2 + 5x = 0 Solving 12 + 2kx2 + 5x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2kx2 + -12 + 5x = 0 + -12 Reorder the terms: 12 + -12 + 2kx2 + 5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2kx2 + 5x = 0 + -12 2kx2 + 5x = 0 + -12 Combine like terms: 0 + -12 = -12 2kx2 + 5x = -12 Add '-5x' to each side of the equation. 2kx2 + 5x + -5x = -12 + -5x Combine like terms: 5x + -5x = 0 2kx2 + 0 = -12 + -5x 2kx2 = -12 + -5x Divide each side by '2x2'. k = -6x-2 + -2.5x-1 Simplifying k = -6x-2 + -2.5x-1
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