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Simplifying 6x2 + -43x + 84 = 0 Reorder the terms: 84 + -43x + 6x2 = 0 Solving 84 + -43x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 14 + -7.166666667x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -7.166666667x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -7.166666667x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7.166666667x + x2 = 0 + -14 -7.166666667x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -7.166666667x + x2 = -14 The x term is -7.166666667x. Take half its coefficient (-3.583333334). Square it (12.84027778) and add it to both sides. Add '12.84027778' to each side of the equation. -7.166666667x + 12.84027778 + x2 = -14 + 12.84027778 Reorder the terms: 12.84027778 + -7.166666667x + x2 = -14 + 12.84027778 Combine like terms: -14 + 12.84027778 = -1.15972222 12.84027778 + -7.166666667x + x2 = -1.15972222 Factor a perfect square on the left side: (x + -3.583333334)(x + -3.583333334) = -1.15972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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