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Simplifying 4x2 + 12x + 9 = 5x Reorder the terms: 9 + 12x + 4x2 = 5x Solving 9 + 12x + 4x2 = 5x Solving for variable 'x'. Reorder the terms: 9 + 12x + -5x + 4x2 = 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x + 4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + 1.75x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 1.75x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 1.75x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 1.75x + x2 = 0 + -2.25 1.75x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 1.75x + x2 = -2.25 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -2.25 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -2.25 + 0.765625 Combine like terms: -2.25 + 0.765625 = -1.484375 0.765625 + 1.75x + x2 = -1.484375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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