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Simplifying x2 + -10x + 90 = 9 Reorder the terms: 90 + -10x + x2 = 9 Solving 90 + -10x + x2 = 9 Solving for variable 'x'. Reorder the terms: 90 + -9 + -10x + x2 = 9 + -9 Combine like terms: 90 + -9 = 81 81 + -10x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 81 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + -10x + -81 + x2 = 0 + -81 Reorder the terms: 81 + -81 + -10x + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -10x + x2 = 0 + -81 -10x + x2 = 0 + -81 Combine like terms: 0 + -81 = -81 -10x + x2 = -81 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -81 + 25 Reorder the terms: 25 + -10x + x2 = -81 + 25 Combine like terms: -81 + 25 = -56 25 + -10x + x2 = -56 Factor a perfect square on the left side: (x + -5)(x + -5) = -56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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