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Simplifying 2x2 + 32x + 256 = 0 Reorder the terms: 256 + 32x + 2x2 = 0 Solving 256 + 32x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(128 + 16x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(128 + 16x + x2)' equal to zero and attempt to solve: Simplifying 128 + 16x + x2 = 0 Solving 128 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-128' to each side of the equation. 128 + 16x + -128 + x2 = 0 + -128 Reorder the terms: 128 + -128 + 16x + x2 = 0 + -128 Combine like terms: 128 + -128 = 0 0 + 16x + x2 = 0 + -128 16x + x2 = 0 + -128 Combine like terms: 0 + -128 = -128 16x + x2 = -128 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -128 + 64 Reorder the terms: 64 + 16x + x2 = -128 + 64 Combine like terms: -128 + 64 = -64 64 + 16x + x2 = -64 Factor a perfect square on the left side: (x + 8)(x + 8) = -64 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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