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Simplifying 2n2 + -4n * x * 5n + -10n2 + 4 = 0 Reorder the terms for easier multiplication: 2n2 + -4 * 5n * x * n + -10n2 + 4 = 0 Multiply -4 * 5 2n2 + -20n * x * n + -10n2 + 4 = 0 Multiply n * x 2n2 + -20nx * n + -10n2 + 4 = 0 Multiply nx * n 2n2 + -20n2x + -10n2 + 4 = 0 Reorder the terms: 4 + 2n2 + -10n2 + -20n2x = 0 Combine like terms: 2n2 + -10n2 = -8n2 4 + -8n2 + -20n2x = 0 Solving 4 + -8n2 + -20n2x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -8n2 + -4 + -20n2x = 0 + -4 Reorder the terms: 4 + -4 + -8n2 + -20n2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -8n2 + -20n2x = 0 + -4 -8n2 + -20n2x = 0 + -4 Combine like terms: 0 + -4 = -4 -8n2 + -20n2x = -4 Reorder the terms: 4 + -8n2 + -20n2x = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -8n2 + -20n2x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -2n2 + -5n2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2n2 + -5n2x)' equal to zero and attempt to solve: Simplifying 1 + -2n2 + -5n2x = 0 Solving 1 + -2n2 + -5n2x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2n2 + -1 + -5n2x = 0 + -1 Reorder the terms: 1 + -1 + -2n2 + -5n2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2n2 + -5n2x = 0 + -1 -2n2 + -5n2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2n2 + -5n2x = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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