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