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Simplifying -3x2 + 7x + -49 = 5x2 Reorder the terms: -49 + 7x + -3x2 = 5x2 Solving -49 + 7x + -3x2 = 5x2 Solving for variable 'x'. Combine like terms: -3x2 + -5x2 = -8x2 -49 + 7x + -8x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -49 + 7x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 6.125 + -0.875x + x2 = 0 Move the constant term to the right: Add '-6.125' to each side of the equation. 6.125 + -0.875x + -6.125 + x2 = 0 + -6.125 Reorder the terms: 6.125 + -6.125 + -0.875x + x2 = 0 + -6.125 Combine like terms: 6.125 + -6.125 = 0.000 0.000 + -0.875x + x2 = 0 + -6.125 -0.875x + x2 = 0 + -6.125 Combine like terms: 0 + -6.125 = -6.125 -0.875x + x2 = -6.125 The x term is -0.875x. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875x + 0.19140625 + x2 = -6.125 + 0.19140625 Reorder the terms: 0.19140625 + -0.875x + x2 = -6.125 + 0.19140625 Combine like terms: -6.125 + 0.19140625 = -5.93359375 0.19140625 + -0.875x + x2 = -5.93359375 Factor a perfect square on the left side: (x + -0.4375)(x + -0.4375) = -5.93359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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