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Simplifying 4x2 + -56x + 784 = x + 96 Reorder the terms: 784 + -56x + 4x2 = x + 96 Reorder the terms: 784 + -56x + 4x2 = 96 + x Solving 784 + -56x + 4x2 = 96 + x Solving for variable 'x'. Reorder the terms: 784 + -96 + -56x + -1x + 4x2 = 96 + x + -96 + -1x Combine like terms: 784 + -96 = 688 688 + -56x + -1x + 4x2 = 96 + x + -96 + -1x Combine like terms: -56x + -1x = -57x 688 + -57x + 4x2 = 96 + x + -96 + -1x Reorder the terms: 688 + -57x + 4x2 = 96 + -96 + x + -1x Combine like terms: 96 + -96 = 0 688 + -57x + 4x2 = 0 + x + -1x 688 + -57x + 4x2 = x + -1x Combine like terms: x + -1x = 0 688 + -57x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 172 + -14.25x + x2 = 0 Move the constant term to the right: Add '-172' to each side of the equation. 172 + -14.25x + -172 + x2 = 0 + -172 Reorder the terms: 172 + -172 + -14.25x + x2 = 0 + -172 Combine like terms: 172 + -172 = 0 0 + -14.25x + x2 = 0 + -172 -14.25x + x2 = 0 + -172 Combine like terms: 0 + -172 = -172 -14.25x + x2 = -172 The x term is -14.25x. Take half its coefficient (-7.125). Square it (50.765625) and add it to both sides. Add '50.765625' to each side of the equation. -14.25x + 50.765625 + x2 = -172 + 50.765625 Reorder the terms: 50.765625 + -14.25x + x2 = -172 + 50.765625 Combine like terms: -172 + 50.765625 = -121.234375 50.765625 + -14.25x + x2 = -121.234375 Factor a perfect square on the left side: (x + -7.125)(x + -7.125) = -121.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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