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Simplifying -9x2 + -288x + -6885 = 0 Reorder the terms: -6885 + -288x + -9x2 = 0 Solving -6885 + -288x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-9'. -9(765 + 32x + x2) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(765 + 32x + x2)' equal to zero and attempt to solve: Simplifying 765 + 32x + x2 = 0 Solving 765 + 32x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-765' to each side of the equation. 765 + 32x + -765 + x2 = 0 + -765 Reorder the terms: 765 + -765 + 32x + x2 = 0 + -765 Combine like terms: 765 + -765 = 0 0 + 32x + x2 = 0 + -765 32x + x2 = 0 + -765 Combine like terms: 0 + -765 = -765 32x + x2 = -765 The x term is 32x. Take half its coefficient (16). Square it (256) and add it to both sides. Add '256' to each side of the equation. 32x + 256 + x2 = -765 + 256 Reorder the terms: 256 + 32x + x2 = -765 + 256 Combine like terms: -765 + 256 = -509 256 + 32x + x2 = -509 Factor a perfect square on the left side: (x + 16)(x + 16) = -509 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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