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Simplifying 0 = 10.02x2 + 1.2x + 5.2 Reorder the terms: 0 = 5.2 + 1.2x + 10.02x2 Solving 0 = 5.2 + 1.2x + 10.02x2 Solving for variable 'x'. Combine like terms: 0 + -5.2 = -5.2 -5.2 + -1.2x + -10.02x2 = 5.2 + 1.2x + 10.02x2 + -5.2 + -1.2x + -10.02x2 Reorder the terms: -5.2 + -1.2x + -10.02x2 = 5.2 + -5.2 + 1.2x + -1.2x + 10.02x2 + -10.02x2 Combine like terms: 5.2 + -5.2 = 0.0 -5.2 + -1.2x + -10.02x2 = 0.0 + 1.2x + -1.2x + 10.02x2 + -10.02x2 -5.2 + -1.2x + -10.02x2 = 1.2x + -1.2x + 10.02x2 + -10.02x2 Combine like terms: 1.2x + -1.2x = 0.0 -5.2 + -1.2x + -10.02x2 = 0.0 + 10.02x2 + -10.02x2 -5.2 + -1.2x + -10.02x2 = 10.02x2 + -10.02x2 Combine like terms: 10.02x2 + -10.02x2 = 0.00 -5.2 + -1.2x + -10.02x2 = 0.00 Begin completing the square. Divide all terms by -10.02 the coefficient of the squared term: Divide each side by '-10.02'. 0.5189620758 + 0.119760479x + x2 = 0 Move the constant term to the right: Add '-0.5189620758' to each side of the equation. 0.5189620758 + 0.119760479x + -0.5189620758 + x2 = 0 + -0.5189620758 Reorder the terms: 0.5189620758 + -0.5189620758 + 0.119760479x + x2 = 0 + -0.5189620758 Combine like terms: 0.5189620758 + -0.5189620758 = 0.0000000000 0.0000000000 + 0.119760479x + x2 = 0 + -0.5189620758 0.119760479x + x2 = 0 + -0.5189620758 Combine like terms: 0 + -0.5189620758 = -0.5189620758 0.119760479x + x2 = -0.5189620758 The x term is 0.119760479x. Take half its coefficient (0.0598802395). Square it (0.003585643083) and add it to both sides. Add '0.003585643083' to each side of the equation. 0.119760479x + 0.003585643083 + x2 = -0.5189620758 + 0.003585643083 Reorder the terms: 0.003585643083 + 0.119760479x + x2 = -0.5189620758 + 0.003585643083 Combine like terms: -0.5189620758 + 0.003585643083 = -0.515376432717 0.003585643083 + 0.119760479x + x2 = -0.515376432717 Factor a perfect square on the left side: (x + 0.0598802395)(x + 0.0598802395) = -0.515376432717 Can't calculate square root of the right side. The solution to this equation could not be determined.
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