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Simplifying (2m + -1l) * x2 + -4(m + -2) * x + (m + -1) = 0 Reorder the terms: (-1l + 2m) * x2 + -4(m + -2) * x + (m + -1) = 0 Reorder the terms for easier multiplication: x2(-1l + 2m) + -4(m + -2) * x + (m + -1) = 0 (-1l * x2 + 2m * x2) + -4(m + -2) * x + (m + -1) = 0 (-1lx2 + 2mx2) + -4(m + -2) * x + (m + -1) = 0 Reorder the terms: -1lx2 + 2mx2 + -4(-2 + m) * x + (m + -1) = 0 Reorder the terms for easier multiplication: -1lx2 + 2mx2 + -4x(-2 + m) + (m + -1) = 0 -1lx2 + 2mx2 + (-2 * -4x + m * -4x) + (m + -1) = 0 Reorder the terms: -1lx2 + 2mx2 + (-4mx + 8x) + (m + -1) = 0 -1lx2 + 2mx2 + (-4mx + 8x) + (m + -1) = 0 Reorder the terms: -1lx2 + 2mx2 + -4mx + 8x + (-1 + m) = 0 Remove parenthesis around (-1 + m) -1lx2 + 2mx2 + -4mx + 8x + -1 + m = 0 Reorder the terms: -1 + -1lx2 + m + -4mx + 2mx2 + 8x = 0 Solving -1 + -1lx2 + m + -4mx + 2mx2 + 8x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1lx2 + m + -4mx + 2mx2 + 1 + 8x = 0 + 1 Reorder the terms: -1 + 1 + -1lx2 + m + -4mx + 2mx2 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1lx2 + m + -4mx + 2mx2 + 8x = 0 + 1 -1lx2 + m + -4mx + 2mx2 + 8x = 0 + 1 Combine like terms: 0 + 1 = 1 -1lx2 + m + -4mx + 2mx2 + 8x = 1 Add '-1m' to each side of the equation. -1lx2 + m + -4mx + 2mx2 + -1m + 8x = 1 + -1m Reorder the terms: -1lx2 + m + -1m + -4mx + 2mx2 + 8x = 1 + -1m Combine like terms: m + -1m = 0 -1lx2 + 0 + -4mx + 2mx2 + 8x = 1 + -1m -1lx2 + -4mx + 2mx2 + 8x = 1 + -1m Add '4mx' to each side of the equation. -1lx2 + -4mx + 2mx2 + 4mx + 8x = 1 + -1m + 4mx Reorder the terms: -1lx2 + -4mx + 4mx + 2mx2 + 8x = 1 + -1m + 4mx Combine like terms: -4mx + 4mx = 0 -1lx2 + 0 + 2mx2 + 8x = 1 + -1m + 4mx -1lx2 + 2mx2 + 8x = 1 + -1m + 4mx Add '-2mx2' to each side of the equation. -1lx2 + 2mx2 + -2mx2 + 8x = 1 + -1m + 4mx + -2mx2 Combine like terms: 2mx2 + -2mx2 = 0 -1lx2 + 0 + 8x = 1 + -1m + 4mx + -2mx2 -1lx2 + 8x = 1 + -1m + 4mx + -2mx2 Add '-8x' to each side of the equation. -1lx2 + 8x + -8x = 1 + -1m + 4mx + -2mx2 + -8x Combine like terms: 8x + -8x = 0 -1lx2 + 0 = 1 + -1m + 4mx + -2mx2 + -8x -1lx2 = 1 + -1m + 4mx + -2mx2 + -8x Divide each side by '-1x2'. l = -1x-2 + mx-2 + -4mx-1 + 2m + 8x-1 Simplifying l = -1x-2 + mx-2 + -4mx-1 + 2m + 8x-1 Reorder the terms: l = 2m + mx-2 + -4mx-1 + -1x-2 + 8x-1
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