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Simplifying 7x + -3x2 = 85 + 2x2 + 2 Reorder the terms: 7x + -3x2 = 85 + 2 + 2x2 Combine like terms: 85 + 2 = 87 7x + -3x2 = 87 + 2x2 Solving 7x + -3x2 = 87 + 2x2 Solving for variable 'x'. Reorder the terms: -87 + 7x + -3x2 + -2x2 = 87 + 2x2 + -87 + -2x2 Combine like terms: -3x2 + -2x2 = -5x2 -87 + 7x + -5x2 = 87 + 2x2 + -87 + -2x2 Reorder the terms: -87 + 7x + -5x2 = 87 + -87 + 2x2 + -2x2 Combine like terms: 87 + -87 = 0 -87 + 7x + -5x2 = 0 + 2x2 + -2x2 -87 + 7x + -5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -87 + 7x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 17.4 + -1.4x + x2 = 0 Move the constant term to the right: Add '-17.4' to each side of the equation. 17.4 + -1.4x + -17.4 + x2 = 0 + -17.4 Reorder the terms: 17.4 + -17.4 + -1.4x + x2 = 0 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + -1.4x + x2 = 0 + -17.4 -1.4x + x2 = 0 + -17.4 Combine like terms: 0 + -17.4 = -17.4 -1.4x + x2 = -17.4 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -17.4 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -17.4 + 0.49 Combine like terms: -17.4 + 0.49 = -16.91 0.49 + -1.4x + x2 = -16.91 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -16.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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