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Simplifying 2a2 + 3b2 = 35 Solving 2a2 + 3b2 = 35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. 2a2 + 3b2 + -3b2 = 35 + -3b2 Combine like terms: 3b2 + -3b2 = 0 2a2 + 0 = 35 + -3b2 2a2 = 35 + -3b2 Divide each side by '2'. a2 = 17.5 + -1.5b2 Simplifying a2 = 17.5 + -1.5b2 Reorder the terms: -17.5 + a2 + 1.5b2 = 17.5 + -1.5b2 + -17.5 + 1.5b2 Reorder the terms: -17.5 + a2 + 1.5b2 = 17.5 + -17.5 + -1.5b2 + 1.5b2 Combine like terms: 17.5 + -17.5 = 0.0 -17.5 + a2 + 1.5b2 = 0.0 + -1.5b2 + 1.5b2 -17.5 + a2 + 1.5b2 = -1.5b2 + 1.5b2 Combine like terms: -1.5b2 + 1.5b2 = 0.0 -17.5 + a2 + 1.5b2 = 0.0 The solution to this equation could not be determined.
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