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Simplifying (5 + -1x)(x + -3) + -8 = 0 Reorder the terms: (5 + -1x)(-3 + x) + -8 = 0 Multiply (5 + -1x) * (-3 + x) (5(-3 + x) + -1x * (-3 + x)) + -8 = 0 ((-3 * 5 + x * 5) + -1x * (-3 + x)) + -8 = 0 ((-15 + 5x) + -1x * (-3 + x)) + -8 = 0 (-15 + 5x + (-3 * -1x + x * -1x)) + -8 = 0 (-15 + 5x + (3x + -1x2)) + -8 = 0 Combine like terms: 5x + 3x = 8x (-15 + 8x + -1x2) + -8 = 0 Reorder the terms: -15 + -8 + 8x + -1x2 = 0 Combine like terms: -15 + -8 = -23 -23 + 8x + -1x2 = 0 Solving -23 + 8x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 23 + -8x + x2 = 0 Move the constant term to the right: Add '-23' to each side of the equation. 23 + -8x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + -8x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -8x + x2 = 0 + -23 -8x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 -8x + x2 = -23 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 = -23 + 16 Reorder the terms: 16 + -8x + x2 = -23 + 16 Combine like terms: -23 + 16 = -7 16 + -8x + x2 = -7 Factor a perfect square on the left side: (x + -4)(x + -4) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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