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Simplifying 4x2 + 15x + 23 = 0 Reorder the terms: 23 + 15x + 4x2 = 0 Solving 23 + 15x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.75 + 3.75x + x2 = 0 Move the constant term to the right: Add '-5.75' to each side of the equation. 5.75 + 3.75x + -5.75 + x2 = 0 + -5.75 Reorder the terms: 5.75 + -5.75 + 3.75x + x2 = 0 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + 3.75x + x2 = 0 + -5.75 3.75x + x2 = 0 + -5.75 Combine like terms: 0 + -5.75 = -5.75 3.75x + x2 = -5.75 The x term is 3.75x. Take half its coefficient (1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. 3.75x + 3.515625 + x2 = -5.75 + 3.515625 Reorder the terms: 3.515625 + 3.75x + x2 = -5.75 + 3.515625 Combine like terms: -5.75 + 3.515625 = -2.234375 3.515625 + 3.75x + x2 = -2.234375 Factor a perfect square on the left side: (x + 1.875)(x + 1.875) = -2.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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