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Simplifying 100x2 + -400x + 8000 = 0 Reorder the terms: 8000 + -400x + 100x2 = 0 Solving 8000 + -400x + 100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '100'. 100(80 + -4x + x2) = 0 Ignore the factor 100.Subproblem 1
Set the factor '(80 + -4x + x2)' equal to zero and attempt to solve: Simplifying 80 + -4x + x2 = 0 Solving 80 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + -4x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + -4x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -4x + x2 = 0 + -80 -4x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 -4x + x2 = -80 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 = -80 + 4 Reorder the terms: 4 + -4x + x2 = -80 + 4 Combine like terms: -80 + 4 = -76 4 + -4x + x2 = -76 Factor a perfect square on the left side: (x + -2)(x + -2) = -76 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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