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Simplifying (x + -9)(x + -9) = -5 Reorder the terms: (-9 + x)(x + -9) = -5 Reorder the terms: (-9 + x)(-9 + x) = -5 Multiply (-9 + x) * (-9 + x) (-9(-9 + x) + x(-9 + x)) = -5 ((-9 * -9 + x * -9) + x(-9 + x)) = -5 ((81 + -9x) + x(-9 + x)) = -5 (81 + -9x + (-9 * x + x * x)) = -5 (81 + -9x + (-9x + x2)) = -5 Combine like terms: -9x + -9x = -18x (81 + -18x + x2) = -5 Solving 81 + -18x + x2 = -5 Solving for variable 'x'. Reorder the terms: 81 + 5 + -18x + x2 = -5 + 5 Combine like terms: 81 + 5 = 86 86 + -18x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 86 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-86' to each side of the equation. 86 + -18x + -86 + x2 = 0 + -86 Reorder the terms: 86 + -86 + -18x + x2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -18x + x2 = 0 + -86 -18x + x2 = 0 + -86 Combine like terms: 0 + -86 = -86 -18x + x2 = -86 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -86 + 81 Reorder the terms: 81 + -18x + x2 = -86 + 81 Combine like terms: -86 + 81 = -5 81 + -18x + x2 = -5 Factor a perfect square on the left side: (x + -9)(x + -9) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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