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Simplifying 8x2 + 32x + 512 = 0 Reorder the terms: 512 + 32x + 8x2 = 0 Solving 512 + 32x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(64 + 4x + x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(64 + 4x + x2)' equal to zero and attempt to solve: Simplifying 64 + 4x + x2 = 0 Solving 64 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + 4x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + 4x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 4x + x2 = 0 + -64 4x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 4x + x2 = -64 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -64 + 4 Reorder the terms: 4 + 4x + x2 = -64 + 4 Combine like terms: -64 + 4 = -60 4 + 4x + x2 = -60 Factor a perfect square on the left side: (x + 2)(x + 2) = -60 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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