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Simplifying 3kx2 + (k + -5) * x = 5x2 + 2 Reorder the terms: 3kx2 + (-5 + k) * x = 5x2 + 2 Reorder the terms for easier multiplication: 3kx2 + x(-5 + k) = 5x2 + 2 3kx2 + (-5 * x + k * x) = 5x2 + 2 Reorder the terms: 3kx2 + (kx + -5x) = 5x2 + 2 3kx2 + (kx + -5x) = 5x2 + 2 Reorder the terms: kx + 3kx2 + -5x = 5x2 + 2 Reorder the terms: kx + 3kx2 + -5x = 2 + 5x2 Solving kx + 3kx2 + -5x = 2 + 5x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5x' to each side of the equation. kx + 3kx2 + -5x + 5x = 2 + 5x + 5x2 Combine like terms: -5x + 5x = 0 kx + 3kx2 + 0 = 2 + 5x + 5x2 kx + 3kx2 = 2 + 5x + 5x2 Reorder the terms: -2 + kx + 3kx2 + -5x + -5x2 = 2 + 5x + 5x2 + -2 + -5x + -5x2 Reorder the terms: -2 + kx + 3kx2 + -5x + -5x2 = 2 + -2 + 5x + -5x + 5x2 + -5x2 Combine like terms: 2 + -2 = 0 -2 + kx + 3kx2 + -5x + -5x2 = 0 + 5x + -5x + 5x2 + -5x2 -2 + kx + 3kx2 + -5x + -5x2 = 5x + -5x + 5x2 + -5x2 Combine like terms: 5x + -5x = 0 -2 + kx + 3kx2 + -5x + -5x2 = 0 + 5x2 + -5x2 -2 + kx + 3kx2 + -5x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -2 + kx + 3kx2 + -5x + -5x2 = 0 The solution to this equation could not be determined.
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