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Simplifying 20x2 + 7 = 15x Reorder the terms: 7 + 20x2 = 15x Solving 7 + 20x2 = 15x Solving for variable 'x'. Reorder the terms: 7 + -15x + 20x2 = 15x + -15x Combine like terms: 15x + -15x = 0 7 + -15x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.35 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.35' to each side of the equation. 0.35 + -0.75x + -0.35 + x2 = 0 + -0.35 Reorder the terms: 0.35 + -0.35 + -0.75x + x2 = 0 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + -0.75x + x2 = 0 + -0.35 -0.75x + x2 = 0 + -0.35 Combine like terms: 0 + -0.35 = -0.35 -0.75x + x2 = -0.35 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -0.35 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.35 + 0.140625 Combine like terms: -0.35 + 0.140625 = -0.209375 0.140625 + -0.75x + x2 = -0.209375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.209375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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