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Simplifying 3600x2 + 200x + 3650 = 0 Reorder the terms: 3650 + 200x + 3600x2 = 0 Solving 3650 + 200x + 3600x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '50'. 50(73 + 4x + 72x2) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(73 + 4x + 72x2)' equal to zero and attempt to solve: Simplifying 73 + 4x + 72x2 = 0 Solving 73 + 4x + 72x2 = 0 Begin completing the square. Divide all terms by 72 the coefficient of the squared term: Divide each side by '72'. 1.013888889 + 0.05555555556x + x2 = 0 Move the constant term to the right: Add '-1.013888889' to each side of the equation. 1.013888889 + 0.05555555556x + -1.013888889 + x2 = 0 + -1.013888889 Reorder the terms: 1.013888889 + -1.013888889 + 0.05555555556x + x2 = 0 + -1.013888889 Combine like terms: 1.013888889 + -1.013888889 = 0.000000000 0.000000000 + 0.05555555556x + x2 = 0 + -1.013888889 0.05555555556x + x2 = 0 + -1.013888889 Combine like terms: 0 + -1.013888889 = -1.013888889 0.05555555556x + x2 = -1.013888889 The x term is 0.05555555556x. Take half its coefficient (0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. 0.05555555556x + 0.0007716049384 + x2 = -1.013888889 + 0.0007716049384 Reorder the terms: 0.0007716049384 + 0.05555555556x + x2 = -1.013888889 + 0.0007716049384 Combine like terms: -1.013888889 + 0.0007716049384 = -1.0131172840616 0.0007716049384 + 0.05555555556x + x2 = -1.0131172840616 Factor a perfect square on the left side: (x + 0.02777777778)(x + 0.02777777778) = -1.0131172840616 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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