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Simplifying 5x2 + -8x + 39 = 0 Reorder the terms: 39 + -8x + 5x2 = 0 Solving 39 + -8x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.8 + -1.6x + x2 = 0 Move the constant term to the right: Add '-7.8' to each side of the equation. 7.8 + -1.6x + -7.8 + x2 = 0 + -7.8 Reorder the terms: 7.8 + -7.8 + -1.6x + x2 = 0 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -1.6x + x2 = 0 + -7.8 -1.6x + x2 = 0 + -7.8 Combine like terms: 0 + -7.8 = -7.8 -1.6x + x2 = -7.8 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -7.8 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -7.8 + 0.64 Combine like terms: -7.8 + 0.64 = -7.16 0.64 + -1.6x + x2 = -7.16 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -7.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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