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Simplifying x(x + 8.9) = -18 + -7 Reorder the terms: x(8.9 + x) = -18 + -7 (8.9 * x + x * x) = -18 + -7 (8.9x + x2) = -18 + -7 Combine like terms: -18 + -7 = -25 8.9x + x2 = -25 Solving 8.9x + x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + 8.9x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 8.9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 8.9x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 8.9x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8.9x + x2 = 0 + -25 8.9x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 8.9x + x2 = -25 The x term is 8.9x. Take half its coefficient (4.45). Square it (19.8025) and add it to both sides. Add '19.8025' to each side of the equation. 8.9x + 19.8025 + x2 = -25 + 19.8025 Reorder the terms: 19.8025 + 8.9x + x2 = -25 + 19.8025 Combine like terms: -25 + 19.8025 = -5.1975 19.8025 + 8.9x + x2 = -5.1975 Factor a perfect square on the left side: (x + 4.45)(x + 4.45) = -5.1975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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