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Simplifying -2x + 5x2 = -37 Solving -2x + 5x2 = -37 Solving for variable 'x'. Reorder the terms: 37 + -2x + 5x2 = -37 + 37 Combine like terms: -37 + 37 = 0 37 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.4 + -0.4x + x2 = 0 Move the constant term to the right: Add '-7.4' to each side of the equation. 7.4 + -0.4x + -7.4 + x2 = 0 + -7.4 Reorder the terms: 7.4 + -7.4 + -0.4x + x2 = 0 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + -0.4x + x2 = 0 + -7.4 -0.4x + x2 = 0 + -7.4 Combine like terms: 0 + -7.4 = -7.4 -0.4x + x2 = -7.4 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 = -7.4 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -7.4 + 0.04 Combine like terms: -7.4 + 0.04 = -7.36 0.04 + -0.4x + x2 = -7.36 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -7.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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