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Simplifying 6a + -3[2b + -2b(b + 3)] = 0 Reorder the terms: 6a + -3[2b + -2b(3 + b)] = 0 6a + -3[2b + (3 * -2b + b * -2b)] = 0 6a + -3[2b + (-6b + -2b2)] = 0 Combine like terms: 2b + -6b = -4b 6a + -3[-4b + -2b2] = 0 6a + [-4b * -3 + -2b2 * -3] = 0 6a + [12b + 6b2] = 0 Solving 6a + 12b + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 6a + 12b + -12b + 6b2 = 0 + -12b Combine like terms: 12b + -12b = 0 6a + 0 + 6b2 = 0 + -12b 6a + 6b2 = 0 + -12b Remove the zero: 6a + 6b2 = -12b Add '-6b2' to each side of the equation. 6a + 6b2 + -6b2 = -12b + -6b2 Combine like terms: 6b2 + -6b2 = 0 6a + 0 = -12b + -6b2 6a = -12b + -6b2 Divide each side by '6'. a = -2b + -1b2 Simplifying a = -2b + -1b2
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