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Simplifying (5x2) + -1(4x + -16) = 0 Reorder the terms: (5x2) + -1(-16 + 4x) = 0 (5x2) + (-16 * -1 + 4x * -1) = 0 (5x2) + (16 + -4x) = 0 Reorder the terms: 16 + -4x + (5x2) = 0 Solving 16 + -4x + (5x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.2 + -0.8x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -0.8x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -0.8x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.8x + x2 = 0 + -3.2 -0.8x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -0.8x + x2 = -3.2 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -3.2 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -3.2 + 0.16 Combine like terms: -3.2 + 0.16 = -3.04 0.16 + -0.8x + x2 = -3.04 Factor a perfect square on the left side: ((x) + -0.4)((x) + -0.4) = -3.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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