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Simplifying 3x2 + kx + 10 = 0 Reorder the terms: 10 + kx + 3x2 = 0 Solving 10 + kx + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + kx + -10 + 3x2 = 0 + -10 Reorder the terms: 10 + -10 + kx + 3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + kx + 3x2 = 0 + -10 kx + 3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 kx + 3x2 = -10 Add '-3x2' to each side of the equation. kx + 3x2 + -3x2 = -10 + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx + 0 = -10 + -3x2 kx = -10 + -3x2 Divide each side by 'x'. k = -10x-1 + -3x Simplifying k = -10x-1 + -3x
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