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Simplifying 4x2 + 7 = -6x Reorder the terms: 7 + 4x2 = -6x Solving 7 + 4x2 = -6x Solving for variable 'x'. Reorder the terms: 7 + 6x + 4x2 = -6x + 6x Combine like terms: -6x + 6x = 0 7 + 6x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + 1.5x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 1.5x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 1.5x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 1.5x + x2 = 0 + -1.75 1.5x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 1.5x + x2 = -1.75 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -1.75 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -1.75 + 0.5625 Combine like terms: -1.75 + 0.5625 = -1.1875 0.5625 + 1.5x + x2 = -1.1875 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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