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Simplifying a(2a + 4b) + -2b(5a + -2b) + 6ab = 0 (2a * a + 4b * a) + -2b(5a + -2b) + 6ab = 0 Reorder the terms: (4ab + 2a2) + -2b(5a + -2b) + 6ab = 0 (4ab + 2a2) + -2b(5a + -2b) + 6ab = 0 4ab + 2a2 + (5a * -2b + -2b * -2b) + 6ab = 0 4ab + 2a2 + (-10ab + 4b2) + 6ab = 0 Reorder the terms: 4ab + -10ab + 6ab + 2a2 + 4b2 = 0 Combine like terms: 4ab + -10ab = -6ab -6ab + 6ab + 2a2 + 4b2 = 0 Combine like terms: -6ab + 6ab = 0 0 + 2a2 + 4b2 = 0 2a2 + 4b2 = 0 Solving 2a2 + 4b2 = 0 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. 2a2 + 4b2 + -4b2 = 0 + -4b2 Combine like terms: 4b2 + -4b2 = 0 2a2 + 0 = 0 + -4b2 2a2 = 0 + -4b2 Remove the zero: 2a2 = -4b2 Divide each side by '2'. a2 = -2b2 Simplifying a2 = -2b2 Combine like terms: -2b2 + 2b2 = 0 a2 + 2b2 = 0 The solution to this equation could not be determined.
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