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Simplifying 45x2 + 50x + 350 = 0 Reorder the terms: 350 + 50x + 45x2 = 0 Solving 350 + 50x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(70 + 10x + 9x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(70 + 10x + 9x2)' equal to zero and attempt to solve: Simplifying 70 + 10x + 9x2 = 0 Solving 70 + 10x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 7.777777778 + 1.111111111x + x2 = 0 Move the constant term to the right: Add '-7.777777778' to each side of the equation. 7.777777778 + 1.111111111x + -7.777777778 + x2 = 0 + -7.777777778 Reorder the terms: 7.777777778 + -7.777777778 + 1.111111111x + x2 = 0 + -7.777777778 Combine like terms: 7.777777778 + -7.777777778 = 0.000000000 0.000000000 + 1.111111111x + x2 = 0 + -7.777777778 1.111111111x + x2 = 0 + -7.777777778 Combine like terms: 0 + -7.777777778 = -7.777777778 1.111111111x + x2 = -7.777777778 The x term is 1.111111111x. Take half its coefficient (0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. 1.111111111x + 0.3086419752 + x2 = -7.777777778 + 0.3086419752 Reorder the terms: 0.3086419752 + 1.111111111x + x2 = -7.777777778 + 0.3086419752 Combine like terms: -7.777777778 + 0.3086419752 = -7.4691358028 0.3086419752 + 1.111111111x + x2 = -7.4691358028 Factor a perfect square on the left side: (x + 0.5555555555)(x + 0.5555555555) = -7.4691358028 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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