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Simplifying 4x2 + -32x + 256 = 0 Reorder the terms: 256 + -32x + 4x2 = 0 Solving 256 + -32x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(64 + -8x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(64 + -8x + x2)' equal to zero and attempt to solve: Simplifying 64 + -8x + x2 = 0 Solving 64 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + -8x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -8x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -8x + x2 = 0 + -64 -8x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -8x + x2 = -64 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -64 + 16 Reorder the terms: 16 + -8x + x2 = -64 + 16 Combine like terms: -64 + 16 = -48 16 + -8x + x2 = -48 Factor a perfect square on the left side: (x + -4)(x + -4) = -48 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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