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Simplifying 7x2 + 14x + 24 = 9 Reorder the terms: 24 + 14x + 7x2 = 9 Solving 24 + 14x + 7x2 = 9 Solving for variable 'x'. Reorder the terms: 24 + -9 + 14x + 7x2 = 9 + -9 Combine like terms: 24 + -9 = 15 15 + 14x + 7x2 = 9 + -9 Combine like terms: 9 + -9 = 0 15 + 14x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.142857143 + 2x + x2 = 0 Move the constant term to the right: Add '-2.142857143' to each side of the equation. 2.142857143 + 2x + -2.142857143 + x2 = 0 + -2.142857143 Reorder the terms: 2.142857143 + -2.142857143 + 2x + x2 = 0 + -2.142857143 Combine like terms: 2.142857143 + -2.142857143 = 0.000000000 0.000000000 + 2x + x2 = 0 + -2.142857143 2x + x2 = 0 + -2.142857143 Combine like terms: 0 + -2.142857143 = -2.142857143 2x + x2 = -2.142857143 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -2.142857143 + 1 Reorder the terms: 1 + 2x + x2 = -2.142857143 + 1 Combine like terms: -2.142857143 + 1 = -1.142857143 1 + 2x + x2 = -1.142857143 Factor a perfect square on the left side: (x + 1)(x + 1) = -1.142857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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