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Simplifying 10a3 + -5c2 + 15c = 0 Reorder the terms: 10a3 + 15c + -5c2 = 0 Solving 10a3 + 15c + -5c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15c' to each side of the equation. 10a3 + 15c + -15c + -5c2 = 0 + -15c Combine like terms: 15c + -15c = 0 10a3 + 0 + -5c2 = 0 + -15c 10a3 + -5c2 = 0 + -15c Remove the zero: 10a3 + -5c2 = -15c Add '5c2' to each side of the equation. 10a3 + -5c2 + 5c2 = -15c + 5c2 Combine like terms: -5c2 + 5c2 = 0 10a3 + 0 = -15c + 5c2 10a3 = -15c + 5c2 Divide each side by '10'. a3 = -1.5c + 0.5c2 Simplifying a3 = -1.5c + 0.5c2 Reorder the terms: a3 + 1.5c + -0.5c2 = -1.5c + 1.5c + 0.5c2 + -0.5c2 Combine like terms: -1.5c + 1.5c = 0.0 a3 + 1.5c + -0.5c2 = 0.0 + 0.5c2 + -0.5c2 a3 + 1.5c + -0.5c2 = 0.5c2 + -0.5c2 Combine like terms: 0.5c2 + -0.5c2 = 0.0 a3 + 1.5c + -0.5c2 = 0.0 The solution to this equation could not be determined.
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