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Simplifying 4x2 + -39x + 96 = 0 Reorder the terms: 96 + -39x + 4x2 = 0 Solving 96 + -39x + 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'. 24 + -9.75x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -9.75x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -9.75x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -9.75x + x2 = 0 + -24 -9.75x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -9.75x + x2 = -24 The x term is -9.75x. Take half its coefficient (-4.875). Square it (23.765625) and add it to both sides. Add '23.765625' to each side of the equation. -9.75x + 23.765625 + x2 = -24 + 23.765625 Reorder the terms: 23.765625 + -9.75x + x2 = -24 + 23.765625 Combine like terms: -24 + 23.765625 = -0.234375 23.765625 + -9.75x + x2 = -0.234375 Factor a perfect square on the left side: (x + -4.875)(x + -4.875) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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