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Simplifying 8x2 + 7x + 11 = 5 Reorder the terms: 11 + 7x + 8x2 = 5 Solving 11 + 7x + 8x2 = 5 Solving for variable 'x'. Reorder the terms: 11 + -5 + 7x + 8x2 = 5 + -5 Combine like terms: 11 + -5 = 6 6 + 7x + 8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 6 + 7x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.75 + 0.875x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.875x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.875x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.875x + x2 = 0 + -0.75 0.875x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.875x + x2 = -0.75 The x term is 0.875x. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875x + 0.19140625 + x2 = -0.75 + 0.19140625 Reorder the terms: 0.19140625 + 0.875x + x2 = -0.75 + 0.19140625 Combine like terms: -0.75 + 0.19140625 = -0.55859375 0.19140625 + 0.875x + x2 = -0.55859375 Factor a perfect square on the left side: (x + 0.4375)(x + 0.4375) = -0.55859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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