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Simplifying -6x2 + -29x + -42 = 0 Reorder the terms: -42 + -29x + -6x2 = 0 Solving -42 + -29x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(42 + 29x + 6x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(42 + 29x + 6x2)' equal to zero and attempt to solve: Simplifying 42 + 29x + 6x2 = 0 Solving 42 + 29x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 7 + 4.833333333x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4.833333333x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 4.833333333x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4.833333333x + x2 = 0 + -7 4.833333333x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 4.833333333x + x2 = -7 The x term is 4.833333333x. Take half its coefficient (2.416666667). Square it (5.840277779) and add it to both sides. Add '5.840277779' to each side of the equation. 4.833333333x + 5.840277779 + x2 = -7 + 5.840277779 Reorder the terms: 5.840277779 + 4.833333333x + x2 = -7 + 5.840277779 Combine like terms: -7 + 5.840277779 = -1.159722221 5.840277779 + 4.833333333x + x2 = -1.159722221 Factor a perfect square on the left side: (x + 2.416666667)(x + 2.416666667) = -1.159722221 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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