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Simplifying 4x2 + 15x + 16 = 0 Reorder the terms: 16 + 15x + 4x2 = 0 Solving 16 + 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'. 4 + 3.75x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.75x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3.75x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.75x + x2 = 0 + -4 3.75x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.75x + x2 = -4 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 = -4 + 3.515625 Reorder the terms: 3.515625 + 3.75x + x2 = -4 + 3.515625 Combine like terms: -4 + 3.515625 = -0.484375 3.515625 + 3.75x + x2 = -0.484375 Factor a perfect square on the left side: (x + 1.875)(x + 1.875) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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