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Simplifying 64x2 + 113x + 64 = 0 Reorder the terms: 64 + 113x + 64x2 = 0 Solving 64 + 113x + 64x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 1 + 1.765625x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.765625x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.765625x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.765625x + x2 = 0 + -1 1.765625x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.765625x + x2 = -1 The x term is 1.765625x. Take half its coefficient (0.8828125). Square it (0.7793579102) and add it to both sides. Add '0.7793579102' to each side of the equation. 1.765625x + 0.7793579102 + x2 = -1 + 0.7793579102 Reorder the terms: 0.7793579102 + 1.765625x + x2 = -1 + 0.7793579102 Combine like terms: -1 + 0.7793579102 = -0.2206420898 0.7793579102 + 1.765625x + x2 = -0.2206420898 Factor a perfect square on the left side: (x + 0.8828125)(x + 0.8828125) = -0.2206420898 Can't calculate square root of the right side. The solution to this equation could not be determined.
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