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Simplifying (a + -5)(b + -5) = 512 Reorder the terms: (-5 + a)(b + -5) = 512 Reorder the terms: (-5 + a)(-5 + b) = 512 Multiply (-5 + a) * (-5 + b) (-5(-5 + b) + a(-5 + b)) = 512 ((-5 * -5 + b * -5) + a(-5 + b)) = 512 ((25 + -5b) + a(-5 + b)) = 512 (25 + -5b + (-5 * a + b * a)) = 512 (25 + -5b + (-5a + ab)) = 512 Reorder the terms: (25 + -5a + ab + -5b) = 512 (25 + -5a + ab + -5b) = 512 Solving 25 + -5a + ab + -5b = 512 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -5a + ab + -25 + -5b = 512 + -25 Reorder the terms: 25 + -25 + -5a + ab + -5b = 512 + -25 Combine like terms: 25 + -25 = 0 0 + -5a + ab + -5b = 512 + -25 -5a + ab + -5b = 512 + -25 Combine like terms: 512 + -25 = 487 -5a + ab + -5b = 487 Add '5b' to each side of the equation. -5a + ab + -5b + 5b = 487 + 5b Combine like terms: -5b + 5b = 0 -5a + ab + 0 = 487 + 5b -5a + ab = 487 + 5b Reorder the terms: -487 + -5a + ab + -5b = 487 + 5b + -487 + -5b Reorder the terms: -487 + -5a + ab + -5b = 487 + -487 + 5b + -5b Combine like terms: 487 + -487 = 0 -487 + -5a + ab + -5b = 0 + 5b + -5b -487 + -5a + ab + -5b = 5b + -5b Combine like terms: 5b + -5b = 0 -487 + -5a + ab + -5b = 0 The solution to this equation could not be determined.
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