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Simplifying -3x2 + 5x + -24 = 0 Reorder the terms: -24 + 5x + -3x2 = 0 Solving -24 + 5x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 8 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -1.666666667x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -1.666666667x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1.666666667x + x2 = 0 + -8 -1.666666667x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1.666666667x + x2 = -8 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -8 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -8 + 0.6944444447 Combine like terms: -8 + 0.6944444447 = -7.3055555553 0.6944444447 + -1.666666667x + x2 = -7.3055555553 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -7.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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