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Simplifying 4X2 + -32X + 80 = 0 Reorder the terms: 80 + -32X + 4X2 = 0 Solving 80 + -32X + 4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(20 + -8X + X2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(20 + -8X + X2)' equal to zero and attempt to solve: Simplifying 20 + -8X + X2 = 0 Solving 20 + -8X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8X + -20 + X2 = 0 + -20 Reorder the terms: 20 + -20 + -8X + X2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8X + X2 = 0 + -20 -8X + X2 = 0 + -20 Combine like terms: 0 + -20 = -20 -8X + X2 = -20 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 = -20 + 16 Reorder the terms: 16 + -8X + X2 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + -8X + X2 = -4 Factor a perfect square on the left side: (X + -4)(X + -4) = -4 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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