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Simplifying (a + -2b)(a + 2b) = 45 Multiply (a + -2b) * (a + 2b) (a(a + 2b) + -2b * (a + 2b)) = 45 ((a * a + 2b * a) + -2b * (a + 2b)) = 45 Reorder the terms: ((2ab + a2) + -2b * (a + 2b)) = 45 ((2ab + a2) + -2b * (a + 2b)) = 45 (2ab + a2 + (a * -2b + 2b * -2b)) = 45 (2ab + a2 + (-2ab + -4b2)) = 45 Reorder the terms: (2ab + -2ab + a2 + -4b2) = 45 Combine like terms: 2ab + -2ab = 0 (0 + a2 + -4b2) = 45 (a2 + -4b2) = 45 Solving a2 + -4b2 = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b2' to each side of the equation. a2 + -4b2 + 4b2 = 45 + 4b2 Combine like terms: -4b2 + 4b2 = 0 a2 + 0 = 45 + 4b2 a2 = 45 + 4b2 Simplifying a2 = 45 + 4b2 Reorder the terms: -45 + a2 + -4b2 = 45 + 4b2 + -45 + -4b2 Reorder the terms: -45 + a2 + -4b2 = 45 + -45 + 4b2 + -4b2 Combine like terms: 45 + -45 = 0 -45 + a2 + -4b2 = 0 + 4b2 + -4b2 -45 + a2 + -4b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -45 + a2 + -4b2 = 0 The solution to this equation could not be determined.
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