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Simplifying 3x3 + kx2 + -7x + 2 = 0 Reorder the terms: 2 + kx2 + -7x + 3x3 = 0 Solving 2 + kx2 + -7x + 3x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + kx2 + -7x + -2 + 3x3 = 0 + -2 Reorder the terms: 2 + -2 + kx2 + -7x + 3x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + kx2 + -7x + 3x3 = 0 + -2 kx2 + -7x + 3x3 = 0 + -2 Combine like terms: 0 + -2 = -2 kx2 + -7x + 3x3 = -2 Add '7x' to each side of the equation. kx2 + -7x + 7x + 3x3 = -2 + 7x Combine like terms: -7x + 7x = 0 kx2 + 0 + 3x3 = -2 + 7x kx2 + 3x3 = -2 + 7x Add '-3x3' to each side of the equation. kx2 + 3x3 + -3x3 = -2 + 7x + -3x3 Combine like terms: 3x3 + -3x3 = 0 kx2 + 0 = -2 + 7x + -3x3 kx2 = -2 + 7x + -3x3 Divide each side by 'x2'. k = -2x-2 + 7x-1 + -3x Simplifying k = -2x-2 + 7x-1 + -3x
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