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Simplifying 2x4 + 3x2 + kx + -12 = 0 Reorder the terms: -12 + kx + 3x2 + 2x4 = 0 Solving -12 + kx + 3x2 + 2x4 = 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 + kx + 3x2 + 12 + 2x4 = 0 + 12 Reorder the terms: -12 + 12 + kx + 3x2 + 2x4 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + kx + 3x2 + 2x4 = 0 + 12 kx + 3x2 + 2x4 = 0 + 12 Combine like terms: 0 + 12 = 12 kx + 3x2 + 2x4 = 12 Add '-3x2' to each side of the equation. kx + 3x2 + -3x2 + 2x4 = 12 + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx + 0 + 2x4 = 12 + -3x2 kx + 2x4 = 12 + -3x2 Add '-2x4' to each side of the equation. kx + 2x4 + -2x4 = 12 + -3x2 + -2x4 Combine like terms: 2x4 + -2x4 = 0 kx + 0 = 12 + -3x2 + -2x4 kx = 12 + -3x2 + -2x4 Divide each side by 'x'. k = 12x-1 + -3x + -2x3 Simplifying k = 12x-1 + -3x + -2x3
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