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Simplifying 5x2 = 0.2x + -4 Reorder the terms: 5x2 = -4 + 0.2x Solving 5x2 = -4 + 0.2x Solving for variable 'x'. Reorder the terms: 4 + -0.2x + 5x2 = -4 + 0.2x + 4 + -0.2x Reorder the terms: 4 + -0.2x + 5x2 = -4 + 4 + 0.2x + -0.2x Combine like terms: -4 + 4 = 0 4 + -0.2x + 5x2 = 0 + 0.2x + -0.2x 4 + -0.2x + 5x2 = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4 + -0.2x + 5x2 = 0.0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -0.04x + x2 = 0.0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.04x + -0.8 + x2 = 0.0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.04x + x2 = 0.0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.04x + x2 = 0.0 + -0.8 -0.04x + x2 = 0.0 + -0.8 Combine like terms: 0.0 + -0.8 = -0.8 -0.04x + x2 = -0.8 The x term is -0.04x. Take half its coefficient (-0.02). Square it (0.0004) and add it to both sides. Add '0.0004' to each side of the equation. -0.04x + 0.0004 + x2 = -0.8 + 0.0004 Reorder the terms: 0.0004 + -0.04x + x2 = -0.8 + 0.0004 Combine like terms: -0.8 + 0.0004 = -0.7996 0.0004 + -0.04x + x2 = -0.7996 Factor a perfect square on the left side: (x + -0.02)(x + -0.02) = -0.7996 Can't calculate square root of the right side. The solution to this equation could not be determined.
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