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Simplifying -5[2a(6 + -1a) + 2(a2 + -4) + 5] = 0 -5[(6 * 2a + -1a * 2a) + 2(a2 + -4) + 5] = 0 -5[(12a + -2a2) + 2(a2 + -4) + 5] = 0 Reorder the terms: -5[12a + -2a2 + 2(-4 + a2) + 5] = 0 -5[12a + -2a2 + (-4 * 2 + a2 * 2) + 5] = 0 -5[12a + -2a2 + (-8 + 2a2) + 5] = 0 Reorder the terms: -5[-8 + 5 + 12a + -2a2 + 2a2] = 0 Combine like terms: -8 + 5 = -3 -5[-3 + 12a + -2a2 + 2a2] = 0 Combine like terms: -2a2 + 2a2 = 0 -5[-3 + 12a + 0] = 0 -5[-3 + 12a] = 0 [-3 * -5 + 12a * -5] = 0 [15 + -60a] = 0 Solving 15 + -60a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -60a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -60a = 0 + -15 -60a = 0 + -15 Combine like terms: 0 + -15 = -15 -60a = -15 Divide each side by '-60'. a = 0.25 Simplifying a = 0.25
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