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Simplifying 6x2 + 27a + -15 = 0 Reorder the terms: -15 + 27a + 6x2 = 0 Solving -15 + 27a + 6x2 = 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 + 27a + 15 + 6x2 = 0 + 15 Reorder the terms: -15 + 15 + 27a + 6x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 27a + 6x2 = 0 + 15 27a + 6x2 = 0 + 15 Combine like terms: 0 + 15 = 15 27a + 6x2 = 15 Add '-6x2' to each side of the equation. 27a + 6x2 + -6x2 = 15 + -6x2 Combine like terms: 6x2 + -6x2 = 0 27a + 0 = 15 + -6x2 27a = 15 + -6x2 Divide each side by '27'. a = 0.5555555556 + -0.2222222222x2 Simplifying a = 0.5555555556 + -0.2222222222x2
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