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Simplifying (x + -3)(x + -5) = -3 Reorder the terms: (-3 + x)(x + -5) = -3 Reorder the terms: (-3 + x)(-5 + x) = -3 Multiply (-3 + x) * (-5 + x) (-3(-5 + x) + x(-5 + x)) = -3 ((-5 * -3 + x * -3) + x(-5 + x)) = -3 ((15 + -3x) + x(-5 + x)) = -3 (15 + -3x + (-5 * x + x * x)) = -3 (15 + -3x + (-5x + x2)) = -3 Combine like terms: -3x + -5x = -8x (15 + -8x + x2) = -3 Solving 15 + -8x + x2 = -3 Solving for variable 'x'. Reorder the terms: 15 + 3 + -8x + x2 = -3 + 3 Combine like terms: 15 + 3 = 18 18 + -8x + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 18 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -8x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8x + x2 = 0 + -18 -8x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8x + x2 = -18 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 = -18 + 16 Reorder the terms: 16 + -8x + x2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8x + x2 = -2 Factor a perfect square on the left side: (x + -4)(x + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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