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Simplifying (5n * n) + -25n + 3020 = 0 Multiply n * n (5n2) + -25n + 3020 = 0 Reorder the terms: 3020 + -25n + (5n2) = 0 Solving 3020 + -25n + (5n2) = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5'. 5(604 + -5n + n2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(604 + -5n + n2)' equal to zero and attempt to solve: Simplifying 604 + -5n + n2 = 0 Solving 604 + -5n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-604' to each side of the equation. 604 + -5n + -604 + n2 = 0 + -604 Reorder the terms: 604 + -604 + -5n + n2 = 0 + -604 Combine like terms: 604 + -604 = 0 0 + -5n + n2 = 0 + -604 -5n + n2 = 0 + -604 Combine like terms: 0 + -604 = -604 -5n + n2 = -604 The n term is -5n. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5n + 6.25 + n2 = -604 + 6.25 Reorder the terms: 6.25 + -5n + n2 = -604 + 6.25 Combine like terms: -604 + 6.25 = -597.75 6.25 + -5n + n2 = -597.75 Factor a perfect square on the left side: (n + -2.5)(n + -2.5) = -597.75 Can't calculate square root of the right side. 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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