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Simplifying 4x2 + 50x + 3600 = 0 Reorder the terms: 3600 + 50x + 4x2 = 0 Solving 3600 + 50x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1800 + 25x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1800 + 25x + 2x2)' equal to zero and attempt to solve: Simplifying 1800 + 25x + 2x2 = 0 Solving 1800 + 25x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 900 + 12.5x + x2 = 0 Move the constant term to the right: Add '-900' to each side of the equation. 900 + 12.5x + -900 + x2 = 0 + -900 Reorder the terms: 900 + -900 + 12.5x + x2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + 12.5x + x2 = 0 + -900 12.5x + x2 = 0 + -900 Combine like terms: 0 + -900 = -900 12.5x + x2 = -900 The x term is 12.5x. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5x + 39.0625 + x2 = -900 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = -900 + 39.0625 Combine like terms: -900 + 39.0625 = -860.9375 39.0625 + 12.5x + x2 = -860.9375 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = -860.9375 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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