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Simplifying x2 + kx + 30 = x2 + 3x + -10 Reorder the terms: 30 + kx + x2 = x2 + 3x + -10 Reorder the terms: 30 + kx + x2 = -10 + 3x + x2 Add '-1x2' to each side of the equation. 30 + kx + x2 + -1x2 = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + kx + 0 = -10 + 3x + x2 + -1x2 30 + kx = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + kx = -10 + 3x + 0 30 + kx = -10 + 3x Solving 30 + kx = -10 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + kx = -10 + -30 + 3x Combine like terms: 30 + -30 = 0 0 + kx = -10 + -30 + 3x kx = -10 + -30 + 3x Combine like terms: -10 + -30 = -40 kx = -40 + 3x Divide each side by 'x'. k = -40x-1 + 3 Simplifying k = -40x-1 + 3 Reorder the terms: k = 3 + -40x-1
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