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Simplifying 4x2 + 25x + 75 = 0 Reorder the terms: 75 + 25x + 4x2 = 0 Solving 75 + 25x + 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'. 18.75 + 6.25x + x2 = 0 Move the constant term to the right: Add '-18.75' to each side of the equation. 18.75 + 6.25x + -18.75 + x2 = 0 + -18.75 Reorder the terms: 18.75 + -18.75 + 6.25x + x2 = 0 + -18.75 Combine like terms: 18.75 + -18.75 = 0.00 0.00 + 6.25x + x2 = 0 + -18.75 6.25x + x2 = 0 + -18.75 Combine like terms: 0 + -18.75 = -18.75 6.25x + x2 = -18.75 The x term is 6.25x. Take half its coefficient (3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. 6.25x + 9.765625 + x2 = -18.75 + 9.765625 Reorder the terms: 9.765625 + 6.25x + x2 = -18.75 + 9.765625 Combine like terms: -18.75 + 9.765625 = -8.984375 9.765625 + 6.25x + x2 = -8.984375 Factor a perfect square on the left side: (x + 3.125)(x + 3.125) = -8.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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