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Simplifying 29x + -12x2 = 78 Solving 29x + -12x2 = 78 Solving for variable 'x'. Reorder the terms: -78 + 29x + -12x2 = 78 + -78 Combine like terms: 78 + -78 = 0 -78 + 29x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 6.5 + -2.416666667x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + -2.416666667x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + -2.416666667x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -2.416666667x + x2 = 0 + -6.5 -2.416666667x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -2.416666667x + x2 = -6.5 The x term is -2.416666667x. Take half its coefficient (-1.208333334). Square it (1.460069446) and add it to both sides. Add '1.460069446' to each side of the equation. -2.416666667x + 1.460069446 + x2 = -6.5 + 1.460069446 Reorder the terms: 1.460069446 + -2.416666667x + x2 = -6.5 + 1.460069446 Combine like terms: -6.5 + 1.460069446 = -5.039930554 1.460069446 + -2.416666667x + x2 = -5.039930554 Factor a perfect square on the left side: (x + -1.208333334)(x + -1.208333334) = -5.039930554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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