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Simplifying -3x2 + -3x + -71 = 0 Reorder the terms: -71 + -3x + -3x2 = 0 Solving -71 + -3x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(71 + 3x + 3x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(71 + 3x + 3x2)' equal to zero and attempt to solve: Simplifying 71 + 3x + 3x2 = 0 Solving 71 + 3x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 23.66666667 + x + x2 = 0 Move the constant term to the right: Add '-23.66666667' to each side of the equation. 23.66666667 + x + -23.66666667 + x2 = 0 + -23.66666667 Reorder the terms: 23.66666667 + -23.66666667 + x + x2 = 0 + -23.66666667 Combine like terms: 23.66666667 + -23.66666667 = 0.00000000 0.00000000 + x + x2 = 0 + -23.66666667 x + x2 = 0 + -23.66666667 Combine like terms: 0 + -23.66666667 = -23.66666667 x + x2 = -23.66666667 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -23.66666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -23.66666667 + 0.25 Combine like terms: -23.66666667 + 0.25 = -23.41666667 1.25 + x2 = -23.41666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -23.41666667 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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