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Simplifying 4x2 + -1600x + 171500 = 0 Reorder the terms: 171500 + -1600x + 4x2 = 0 Solving 171500 + -1600x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(42875 + -400x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(42875 + -400x + x2)' equal to zero and attempt to solve: Simplifying 42875 + -400x + x2 = 0 Solving 42875 + -400x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-42875' to each side of the equation. 42875 + -400x + -42875 + x2 = 0 + -42875 Reorder the terms: 42875 + -42875 + -400x + x2 = 0 + -42875 Combine like terms: 42875 + -42875 = 0 0 + -400x + x2 = 0 + -42875 -400x + x2 = 0 + -42875 Combine like terms: 0 + -42875 = -42875 -400x + x2 = -42875 The x term is -400x. Take half its coefficient (-200). Square it (40000) and add it to both sides. Add '40000' to each side of the equation. -400x + 40000 + x2 = -42875 + 40000 Reorder the terms: 40000 + -400x + x2 = -42875 + 40000 Combine like terms: -42875 + 40000 = -2875 40000 + -400x + x2 = -2875 Factor a perfect square on the left side: (x + -200)(x + -200) = -2875 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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