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Simplifying 4x2 + 23 = -13x Reorder the terms: 23 + 4x2 = -13x Solving 23 + 4x2 = -13x Solving for variable 'x'. Reorder the terms: 23 + 13x + 4x2 = -13x + 13x Combine like terms: -13x + 13x = 0 23 + 13x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.75 + 3.25x + x2 = 0 Move the constant term to the right: Add '-5.75' to each side of the equation. 5.75 + 3.25x + -5.75 + x2 = 0 + -5.75 Reorder the terms: 5.75 + -5.75 + 3.25x + x2 = 0 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + 3.25x + x2 = 0 + -5.75 3.25x + x2 = 0 + -5.75 Combine like terms: 0 + -5.75 = -5.75 3.25x + x2 = -5.75 The x term is 3.25x. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25x + 2.640625 + x2 = -5.75 + 2.640625 Reorder the terms: 2.640625 + 3.25x + x2 = -5.75 + 2.640625 Combine like terms: -5.75 + 2.640625 = -3.109375 2.640625 + 3.25x + x2 = -3.109375 Factor a perfect square on the left side: (x + 1.625)(x + 1.625) = -3.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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