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Simplifying 5x2 + 90x + 2005 = 0 Reorder the terms: 2005 + 90x + 5x2 = 0 Solving 2005 + 90x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(401 + 18x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(401 + 18x + x2)' equal to zero and attempt to solve: Simplifying 401 + 18x + x2 = 0 Solving 401 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-401' to each side of the equation. 401 + 18x + -401 + x2 = 0 + -401 Reorder the terms: 401 + -401 + 18x + x2 = 0 + -401 Combine like terms: 401 + -401 = 0 0 + 18x + x2 = 0 + -401 18x + x2 = 0 + -401 Combine like terms: 0 + -401 = -401 18x + x2 = -401 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -401 + 81 Reorder the terms: 81 + 18x + x2 = -401 + 81 Combine like terms: -401 + 81 = -320 81 + 18x + x2 = -320 Factor a perfect square on the left side: (x + 9)(x + 9) = -320 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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