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Simplifying 2x3 + 2x2k + x2 + xk + -15x + -15k = -3 Reorder the terms: -15k + kx + 2kx2 + -15x + x2 + 2x3 = -3 Solving -15k + kx + 2kx2 + -15x + x2 + 2x3 = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15x' to each side of the equation. -15k + kx + 2kx2 + -15x + x2 + 15x + 2x3 = -3 + 15x Reorder the terms: -15k + kx + 2kx2 + -15x + 15x + x2 + 2x3 = -3 + 15x Combine like terms: -15x + 15x = 0 -15k + kx + 2kx2 + 0 + x2 + 2x3 = -3 + 15x -15k + kx + 2kx2 + x2 + 2x3 = -3 + 15x Add '-1x2' to each side of the equation. -15k + kx + 2kx2 + x2 + -1x2 + 2x3 = -3 + 15x + -1x2 Combine like terms: x2 + -1x2 = 0 -15k + kx + 2kx2 + 0 + 2x3 = -3 + 15x + -1x2 -15k + kx + 2kx2 + 2x3 = -3 + 15x + -1x2 Add '-2x3' to each side of the equation. -15k + kx + 2kx2 + 2x3 + -2x3 = -3 + 15x + -1x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -15k + kx + 2kx2 + 0 = -3 + 15x + -1x2 + -2x3 -15k + kx + 2kx2 = -3 + 15x + -1x2 + -2x3 Reorder the terms: 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -3 + 15x + -1x2 + -2x3 + 3 + -15x + x2 + 2x3 Reorder the terms: 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -3 + 3 + 15x + -15x + -1x2 + x2 + -2x3 + 2x3 Combine like terms: -3 + 3 = 0 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 + 15x + -15x + -1x2 + x2 + -2x3 + 2x3 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 15x + -15x + -1x2 + x2 + -2x3 + 2x3 Combine like terms: 15x + -15x = 0 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 + -1x2 + x2 + -2x3 + 2x3 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -1x2 + x2 + -2x3 + 2x3 Combine like terms: -1x2 + x2 = 0 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 + -2x3 + 2x3 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 The solution to this equation could not be determined.
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