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Simplifying 5x2 + -6x + 76 = 0 Reorder the terms: 76 + -6x + 5x2 = 0 Solving 76 + -6x + 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'. 15.2 + -1.2x + x2 = 0 Move the constant term to the right: Add '-15.2' to each side of the equation. 15.2 + -1.2x + -15.2 + x2 = 0 + -15.2 Reorder the terms: 15.2 + -15.2 + -1.2x + x2 = 0 + -15.2 Combine like terms: 15.2 + -15.2 = 0.0 0.0 + -1.2x + x2 = 0 + -15.2 -1.2x + x2 = 0 + -15.2 Combine like terms: 0 + -15.2 = -15.2 -1.2x + x2 = -15.2 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -15.2 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -15.2 + 0.36 Combine like terms: -15.2 + 0.36 = -14.84 0.36 + -1.2x + x2 = -14.84 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -14.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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