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Simplifying 5x2 + -2x = -20 Reorder the terms: -2x + 5x2 = -20 Solving -2x + 5x2 = -20 Solving for variable 'x'. Reorder the terms: 20 + -2x + 5x2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4 + -0.4x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.4x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -0.4x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.4x + x2 = 0 + -4 -0.4x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.4x + x2 = -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 = -4 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -4 + 0.04 Combine like terms: -4 + 0.04 = -3.96 0.04 + -0.4x + x2 = -3.96 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -3.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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