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Simplifying 0.2x(5x + -1) = -2 Reorder the terms: 0.2x(-1 + 5x) = -2 (-1 * 0.2x + 5x * 0.2x) = -2 (-0.2x + 1x2) = -2 Solving -0.2x + 1x2 = -2 Solving for variable 'x'. Reorder the terms: 2 + -0.2x + 1x2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -0.2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.2x + x2 = 0 + -2 -0.2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.2x + x2 = -2 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -2 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -2 + 0.01 Combine like terms: -2 + 0.01 = -1.99 0.01 + -0.2x + x2 = -1.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -1.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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