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Simplifying 4x2 + 200x + 4800 = 0 Reorder the terms: 4800 + 200x + 4x2 = 0 Solving 4800 + 200x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(1200 + 50x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1200 + 50x + x2)' equal to zero and attempt to solve: Simplifying 1200 + 50x + x2 = 0 Solving 1200 + 50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1200' to each side of the equation. 1200 + 50x + -1200 + x2 = 0 + -1200 Reorder the terms: 1200 + -1200 + 50x + x2 = 0 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 50x + x2 = 0 + -1200 50x + x2 = 0 + -1200 Combine like terms: 0 + -1200 = -1200 50x + x2 = -1200 The x term is 50x. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50x + 625 + x2 = -1200 + 625 Reorder the terms: 625 + 50x + x2 = -1200 + 625 Combine like terms: -1200 + 625 = -575 625 + 50x + x2 = -575 Factor a perfect square on the left side: (x + 25)(x + 25) = -575 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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