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Simplifying x(0.2 + -1x) = 0.7 (0.2 * x + -1x * x) = 0.7 (0.2x + -1x2) = 0.7 Solving 0.2x + -1x2 = 0.7 Solving for variable 'x'. Reorder the terms: -0.7 + 0.2x + -1x2 = 0.7 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 -0.7 + 0.2x + -1x2 = 0.0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 0.7 + -0.2x + x2 = 0.0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -0.2x + -0.7 + x2 = 0.0 + -0.7 Reorder the terms: 0.7 + -0.7 + -0.2x + x2 = 0.0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.2x + x2 = 0.0 + -0.7 -0.2x + x2 = 0.0 + -0.7 Combine like terms: 0.0 + -0.7 = -0.7 -0.2x + x2 = -0.7 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 = -0.7 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.7 + 0.01 Combine like terms: -0.7 + 0.01 = -0.69 0.01 + -0.2x + x2 = -0.69 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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