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Simplifying -29763 + -648x + -9x2 = 0 Solving -29763 + -648x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-9'. -9(3307 + 72x + x2) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(3307 + 72x + x2)' equal to zero and attempt to solve: Simplifying 3307 + 72x + x2 = 0 Solving 3307 + 72x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3307' to each side of the equation. 3307 + 72x + -3307 + x2 = 0 + -3307 Reorder the terms: 3307 + -3307 + 72x + x2 = 0 + -3307 Combine like terms: 3307 + -3307 = 0 0 + 72x + x2 = 0 + -3307 72x + x2 = 0 + -3307 Combine like terms: 0 + -3307 = -3307 72x + x2 = -3307 The x term is 72x. Take half its coefficient (36). Square it (1296) and add it to both sides. Add '1296' to each side of the equation. 72x + 1296 + x2 = -3307 + 1296 Reorder the terms: 1296 + 72x + x2 = -3307 + 1296 Combine like terms: -3307 + 1296 = -2011 1296 + 72x + x2 = -2011 Factor a perfect square on the left side: (x + 36)(x + 36) = -2011 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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