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Simplifying 7x2 + 12x + 18 = 11 Reorder the terms: 18 + 12x + 7x2 = 11 Solving 18 + 12x + 7x2 = 11 Solving for variable 'x'. Reorder the terms: 18 + -11 + 12x + 7x2 = 11 + -11 Combine like terms: 18 + -11 = 7 7 + 12x + 7x2 = 11 + -11 Combine like terms: 11 + -11 = 0 7 + 12x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + 1.714285714x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.714285714x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.714285714x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.714285714x + x2 = 0 + -1 1.714285714x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.714285714x + x2 = -1 The x term is 1.714285714x. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714x + 0.7346938773 + x2 = -1 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714x + x2 = -1 + 0.7346938773 Combine like terms: -1 + 0.7346938773 = -0.2653061227 0.7346938773 + 1.714285714x + x2 = -0.2653061227 Factor a perfect square on the left side: (x + 0.857142857)(x + 0.857142857) = -0.2653061227 Can't calculate square root of the right side. The solution to this equation could not be determined.
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