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Simplifying 9x2 + 18x = -19 Reorder the terms: 18x + 9x2 = -19 Solving 18x + 9x2 = -19 Solving for variable 'x'. Reorder the terms: 19 + 18x + 9x2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + 18x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.111111111 + 2x + x2 = 0 Move the constant term to the right: Add '-2.111111111' to each side of the equation. 2.111111111 + 2x + -2.111111111 + x2 = 0 + -2.111111111 Reorder the terms: 2.111111111 + -2.111111111 + 2x + x2 = 0 + -2.111111111 Combine like terms: 2.111111111 + -2.111111111 = 0.000000000 0.000000000 + 2x + x2 = 0 + -2.111111111 2x + x2 = 0 + -2.111111111 Combine like terms: 0 + -2.111111111 = -2.111111111 2x + x2 = -2.111111111 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 = -2.111111111 + 1 Reorder the terms: 1 + 2x + x2 = -2.111111111 + 1 Combine like terms: -2.111111111 + 1 = -1.111111111 1 + 2x + x2 = -1.111111111 Factor a perfect square on the left side: (x + 1)(x + 1) = -1.111111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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