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Simplifying 50x2 + 18x + 100 = 0 Reorder the terms: 100 + 18x + 50x2 = 0 Solving 100 + 18x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(50 + 9x + 25x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(50 + 9x + 25x2)' equal to zero and attempt to solve: Simplifying 50 + 9x + 25x2 = 0 Solving 50 + 9x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2 + 0.36x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.36x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 0.36x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.36x + x2 = 0 + -2 0.36x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.36x + x2 = -2 The x term is 0.36x. Take half its coefficient (0.18). Square it (0.0324) and add it to both sides. Add '0.0324' to each side of the equation. 0.36x + 0.0324 + x2 = -2 + 0.0324 Reorder the terms: 0.0324 + 0.36x + x2 = -2 + 0.0324 Combine like terms: -2 + 0.0324 = -1.9676 0.0324 + 0.36x + x2 = -1.9676 Factor a perfect square on the left side: (x + 0.18)(x + 0.18) = -1.9676 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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