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Simplifying 6x2 + -72x + 220 = 0 Reorder the terms: 220 + -72x + 6x2 = 0 Solving 220 + -72x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(110 + -36x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(110 + -36x + 3x2)' equal to zero and attempt to solve: Simplifying 110 + -36x + 3x2 = 0 Solving 110 + -36x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 36.66666667 + -12x + x2 = 0 Move the constant term to the right: Add '-36.66666667' to each side of the equation. 36.66666667 + -12x + -36.66666667 + x2 = 0 + -36.66666667 Reorder the terms: 36.66666667 + -36.66666667 + -12x + x2 = 0 + -36.66666667 Combine like terms: 36.66666667 + -36.66666667 = 0.00000000 0.00000000 + -12x + x2 = 0 + -36.66666667 -12x + x2 = 0 + -36.66666667 Combine like terms: 0 + -36.66666667 = -36.66666667 -12x + x2 = -36.66666667 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -36.66666667 + 36 Reorder the terms: 36 + -12x + x2 = -36.66666667 + 36 Combine like terms: -36.66666667 + 36 = -0.66666667 36 + -12x + x2 = -0.66666667 Factor a perfect square on the left side: (x + -6)(x + -6) = -0.66666667 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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