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Simplifying 2x3 + kx2 + -2x + 15 = 0 Reorder the terms: 15 + kx2 + -2x + 2x3 = 0 Solving 15 + kx2 + -2x + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + kx2 + -2x + -15 + 2x3 = 0 + -15 Reorder the terms: 15 + -15 + kx2 + -2x + 2x3 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + kx2 + -2x + 2x3 = 0 + -15 kx2 + -2x + 2x3 = 0 + -15 Combine like terms: 0 + -15 = -15 kx2 + -2x + 2x3 = -15 Add '2x' to each side of the equation. kx2 + -2x + 2x + 2x3 = -15 + 2x Combine like terms: -2x + 2x = 0 kx2 + 0 + 2x3 = -15 + 2x kx2 + 2x3 = -15 + 2x Add '-2x3' to each side of the equation. kx2 + 2x3 + -2x3 = -15 + 2x + -2x3 Combine like terms: 2x3 + -2x3 = 0 kx2 + 0 = -15 + 2x + -2x3 kx2 = -15 + 2x + -2x3 Divide each side by 'x2'. k = -15x-2 + 2x-1 + -2x Simplifying k = -15x-2 + 2x-1 + -2x
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