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Simplifying 4x2 + -15x + 43 = 9 + 8 Reorder the terms: 43 + -15x + 4x2 = 9 + 8 Combine like terms: 9 + 8 = 17 43 + -15x + 4x2 = 17 Solving 43 + -15x + 4x2 = 17 Solving for variable 'x'. Reorder the terms: 43 + -17 + -15x + 4x2 = 17 + -17 Combine like terms: 43 + -17 = 26 26 + -15x + 4x2 = 17 + -17 Combine like terms: 17 + -17 = 0 26 + -15x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.5 + -3.75x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + -3.75x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + -3.75x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -3.75x + x2 = 0 + -6.5 -3.75x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -3.75x + x2 = -6.5 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 = -6.5 + 3.515625 Reorder the terms: 3.515625 + -3.75x + x2 = -6.5 + 3.515625 Combine like terms: -6.5 + 3.515625 = -2.984375 3.515625 + -3.75x + x2 = -2.984375 Factor a perfect square on the left side: (x + -1.875)(x + -1.875) = -2.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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