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Simplifying 150 = (y + 8)(x + 6) Reorder the terms: 150 = (8 + y)(x + 6) Reorder the terms: 150 = (8 + y)(6 + x) Multiply (8 + y) * (6 + x) 150 = (8(6 + x) + y(6 + x)) 150 = ((6 * 8 + x * 8) + y(6 + x)) 150 = ((48 + 8x) + y(6 + x)) 150 = (48 + 8x + (6 * y + x * y)) Reorder the terms: 150 = (48 + 8x + (xy + 6y)) 150 = (48 + 8x + (xy + 6y)) 150 = (48 + 8x + xy + 6y) Solving 150 = 48 + 8x + xy + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 150 + -8x = 48 + 8x + xy + -8x + 6y Reorder the terms: 150 + -8x = 48 + 8x + -8x + xy + 6y Combine like terms: 8x + -8x = 0 150 + -8x = 48 + 0 + xy + 6y 150 + -8x = 48 + xy + 6y Add '-1xy' to each side of the equation. 150 + -8x + -1xy = 48 + xy + -1xy + 6y Combine like terms: xy + -1xy = 0 150 + -8x + -1xy = 48 + 0 + 6y 150 + -8x + -1xy = 48 + 6y Add '-150' to each side of the equation. 150 + -8x + -150 + -1xy = 48 + -150 + 6y Reorder the terms: 150 + -150 + -8x + -1xy = 48 + -150 + 6y Combine like terms: 150 + -150 = 0 0 + -8x + -1xy = 48 + -150 + 6y -8x + -1xy = 48 + -150 + 6y Combine like terms: 48 + -150 = -102 -8x + -1xy = -102 + 6y Reorder the terms: 102 + -8x + -1xy + -6y = -102 + 6y + 102 + -6y Reorder the terms: 102 + -8x + -1xy + -6y = -102 + 102 + 6y + -6y Combine like terms: -102 + 102 = 0 102 + -8x + -1xy + -6y = 0 + 6y + -6y 102 + -8x + -1xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 102 + -8x + -1xy + -6y = 0 The solution to this equation could not be determined.
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