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Simplifying 0 = (2a + 6b)(2a + -6b) Multiply (2a + 6b) * (2a + -6b) 0 = (2a * (2a + -6b) + 6b * (2a + -6b)) 0 = ((2a * 2a + -6b * 2a) + 6b * (2a + -6b)) Reorder the terms: 0 = ((-12ab + 4a2) + 6b * (2a + -6b)) 0 = ((-12ab + 4a2) + 6b * (2a + -6b)) 0 = (-12ab + 4a2 + (2a * 6b + -6b * 6b)) 0 = (-12ab + 4a2 + (12ab + -36b2)) Reorder the terms: 0 = (-12ab + 12ab + 4a2 + -36b2) Combine like terms: -12ab + 12ab = 0 0 = (0 + 4a2 + -36b2) 0 = (4a2 + -36b2) Solving 0 = 4a2 + -36b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a2' to each side of the equation. 0 + -4a2 = 4a2 + -4a2 + -36b2 Remove the zero: -4a2 = 4a2 + -4a2 + -36b2 Combine like terms: 4a2 + -4a2 = 0 -4a2 = 0 + -36b2 -4a2 = -36b2 Divide each side by '-4'. a2 = 9b2 Simplifying a2 = 9b2 Take the square root of each side: a = {-3b, 3b}
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