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Simplifying 0.0002x2 + -0.136x + 127.9 = 7 Reorder the terms: 127.9 + -0.136x + 0.0002x2 = 7 Solving 127.9 + -0.136x + 0.0002x2 = 7 Solving for variable 'x'. Reorder the terms: 127.9 + -7 + -0.136x + 0.0002x2 = 7 + -7 Combine like terms: 127.9 + -7 = 120.9 120.9 + -0.136x + 0.0002x2 = 7 + -7 Combine like terms: 7 + -7 = 0 120.9 + -0.136x + 0.0002x2 = 0 Begin completing the square. Divide all terms by 0.0002 the coefficient of the squared term: Divide each side by '0.0002'. 604500 + -680x + x2 = 0 Move the constant term to the right: Add '-604500' to each side of the equation. 604500 + -680x + -604500 + x2 = 0 + -604500 Reorder the terms: 604500 + -604500 + -680x + x2 = 0 + -604500 Combine like terms: 604500 + -604500 = 0 0 + -680x + x2 = 0 + -604500 -680x + x2 = 0 + -604500 Combine like terms: 0 + -604500 = -604500 -680x + x2 = -604500 The x term is -680x. Take half its coefficient (-340). Square it (115600) and add it to both sides. Add '115600' to each side of the equation. -680x + 115600 + x2 = -604500 + 115600 Reorder the terms: 115600 + -680x + x2 = -604500 + 115600 Combine like terms: -604500 + 115600 = -488900 115600 + -680x + x2 = -488900 Factor a perfect square on the left side: (x + -340)(x + -340) = -488900 Can't calculate square root of the right side. The solution to this equation could not be determined.
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