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Simplifying 6x2 + 80x + 350 = 0 Reorder the terms: 350 + 80x + 6x2 = 0 Solving 350 + 80x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(175 + 40x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(175 + 40x + 3x2)' equal to zero and attempt to solve: Simplifying 175 + 40x + 3x2 = 0 Solving 175 + 40x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 58.33333333 + 13.33333333x + x2 = 0 Move the constant term to the right: Add '-58.33333333' to each side of the equation. 58.33333333 + 13.33333333x + -58.33333333 + x2 = 0 + -58.33333333 Reorder the terms: 58.33333333 + -58.33333333 + 13.33333333x + x2 = 0 + -58.33333333 Combine like terms: 58.33333333 + -58.33333333 = 0.00000000 0.00000000 + 13.33333333x + x2 = 0 + -58.33333333 13.33333333x + x2 = 0 + -58.33333333 Combine like terms: 0 + -58.33333333 = -58.33333333 13.33333333x + x2 = -58.33333333 The x term is 13.33333333x. Take half its coefficient (6.666666665). Square it (44.44444442) and add it to both sides. Add '44.44444442' to each side of the equation. 13.33333333x + 44.44444442 + x2 = -58.33333333 + 44.44444442 Reorder the terms: 44.44444442 + 13.33333333x + x2 = -58.33333333 + 44.44444442 Combine like terms: -58.33333333 + 44.44444442 = -13.88888891 44.44444442 + 13.33333333x + x2 = -13.88888891 Factor a perfect square on the left side: (x + 6.666666665)(x + 6.666666665) = -13.88888891 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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