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Simplifying 5a + 3c + 5a + -2c(3c) = 0 Remove parenthesis around (3c) 5a + 3c + 5a + -2c * 3c = 0 Reorder the terms for easier multiplication: 5a + 3c + 5a + -2 * 3c * c = 0 Multiply -2 * 3 5a + 3c + 5a + -6c * c = 0 Multiply c * c 5a + 3c + 5a + -6c2 = 0 Reorder the terms: 5a + 5a + 3c + -6c2 = 0 Combine like terms: 5a + 5a = 10a 10a + 3c + -6c2 = 0 Solving 10a + 3c + -6c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3c' to each side of the equation. 10a + 3c + -3c + -6c2 = 0 + -3c Combine like terms: 3c + -3c = 0 10a + 0 + -6c2 = 0 + -3c 10a + -6c2 = 0 + -3c Remove the zero: 10a + -6c2 = -3c Add '6c2' to each side of the equation. 10a + -6c2 + 6c2 = -3c + 6c2 Combine like terms: -6c2 + 6c2 = 0 10a + 0 = -3c + 6c2 10a = -3c + 6c2 Divide each side by '10'. a = -0.3c + 0.6c2 Simplifying a = -0.3c + 0.6c2
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