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Simplifying x(x + -8) = -41 Reorder the terms: x(-8 + x) = -41 (-8 * x + x * x) = -41 (-8x + x2) = -41 Solving -8x + x2 = -41 Solving for variable 'x'. Reorder the terms: 41 + -8x + x2 = -41 + 41 Combine like terms: -41 + 41 = 0 41 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -8x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -8x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -8x + x2 = 0 + -41 -8x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -8x + x2 = -41 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -41 + 16 Reorder the terms: 16 + -8x + x2 = -41 + 16 Combine like terms: -41 + 16 = -25 16 + -8x + x2 = -25 Factor a perfect square on the left side: (x + -4)(x + -4) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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