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Simplifying 5x2 + 10x = -18 Reorder the terms: 10x + 5x2 = -18 Solving 10x + 5x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + 10x + 5x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + 2x + x2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + 2x + -3.6 + x2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + 2x + x2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 2x + x2 = 0 + -3.6 2x + x2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 2x + x2 = -3.6 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 = -3.6 + 1 Reorder the terms: 1 + 2x + x2 = -3.6 + 1 Combine like terms: -3.6 + 1 = -2.6 1 + 2x + x2 = -2.6 Factor a perfect square on the left side: (x + 1)(x + 1) = -2.6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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