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Simplifying 2x2 + -66x + 1024 = 0 Reorder the terms: 1024 + -66x + 2x2 = 0 Solving 1024 + -66x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(512 + -33x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(512 + -33x + x2)' equal to zero and attempt to solve: Simplifying 512 + -33x + x2 = 0 Solving 512 + -33x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-512' to each side of the equation. 512 + -33x + -512 + x2 = 0 + -512 Reorder the terms: 512 + -512 + -33x + x2 = 0 + -512 Combine like terms: 512 + -512 = 0 0 + -33x + x2 = 0 + -512 -33x + x2 = 0 + -512 Combine like terms: 0 + -512 = -512 -33x + x2 = -512 The x term is -33x. Take half its coefficient (-16.5). Square it (272.25) and add it to both sides. Add '272.25' to each side of the equation. -33x + 272.25 + x2 = -512 + 272.25 Reorder the terms: 272.25 + -33x + x2 = -512 + 272.25 Combine like terms: -512 + 272.25 = -239.75 272.25 + -33x + x2 = -239.75 Factor a perfect square on the left side: (x + -16.5)(x + -16.5) = -239.75 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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