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Simplifying 5x2 + -2x = -59 Reorder the terms: -2x + 5x2 = -59 Solving -2x + 5x2 = -59 Solving for variable 'x'. Reorder the terms: 59 + -2x + 5x2 = -59 + 59 Combine like terms: -59 + 59 = 0 59 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 11.8 + -0.4x + x2 = 0 Move the constant term to the right: Add '-11.8' to each side of the equation. 11.8 + -0.4x + -11.8 + x2 = 0 + -11.8 Reorder the terms: 11.8 + -11.8 + -0.4x + x2 = 0 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + -0.4x + x2 = 0 + -11.8 -0.4x + x2 = 0 + -11.8 Combine like terms: 0 + -11.8 = -11.8 -0.4x + x2 = -11.8 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -11.8 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -11.8 + 0.04 Combine like terms: -11.8 + 0.04 = -11.76 0.04 + -0.4x + x2 = -11.76 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -11.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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