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Simplifying as2 + 3as + 2a + bs2 + -2bs + cs + -2c = 0 Reorder the terms: 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 0 Solving 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bs' to each side of the equation. 2a + 3as + as2 + -2bs + bs2 + -2c + 2bs + cs = 0 + 2bs Reorder the terms: 2a + 3as + as2 + -2bs + 2bs + bs2 + -2c + cs = 0 + 2bs Combine like terms: -2bs + 2bs = 0 2a + 3as + as2 + 0 + bs2 + -2c + cs = 0 + 2bs 2a + 3as + as2 + bs2 + -2c + cs = 0 + 2bs Remove the zero: 2a + 3as + as2 + bs2 + -2c + cs = 2bs Add '-1bs2' to each side of the equation. 2a + 3as + as2 + bs2 + -2c + -1bs2 + cs = 2bs + -1bs2 Reorder the terms: 2a + 3as + as2 + bs2 + -1bs2 + -2c + cs = 2bs + -1bs2 Combine like terms: bs2 + -1bs2 = 0 2a + 3as + as2 + 0 + -2c + cs = 2bs + -1bs2 2a + 3as + as2 + -2c + cs = 2bs + -1bs2 Add '2c' to each side of the equation. 2a + 3as + as2 + -2c + 2c + cs = 2bs + -1bs2 + 2c Combine like terms: -2c + 2c = 0 2a + 3as + as2 + 0 + cs = 2bs + -1bs2 + 2c 2a + 3as + as2 + cs = 2bs + -1bs2 + 2c Add '-1cs' to each side of the equation. 2a + 3as + as2 + cs + -1cs = 2bs + -1bs2 + 2c + -1cs Combine like terms: cs + -1cs = 0 2a + 3as + as2 + 0 = 2bs + -1bs2 + 2c + -1cs 2a + 3as + as2 = 2bs + -1bs2 + 2c + -1cs Reorder the terms: 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 2bs + -2bs + -1bs2 + bs2 + 2c + -2c + -1cs + cs Combine like terms: 2bs + -2bs = 0 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 0 + -1bs2 + bs2 + 2c + -2c + -1cs + cs 2a + 3as + as2 + -2bs + bs2 + -2c + cs = -1bs2 + bs2 + 2c + -2c + -1cs + cs Combine like terms: -1bs2 + bs2 = 0 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 0 + 2c + -2c + -1cs + cs 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 2c + -2c + -1cs + cs Combine like terms: 2c + -2c = 0 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 0 + -1cs + cs 2a + 3as + as2 + -2bs + bs2 + -2c + cs = -1cs + cs Combine like terms: -1cs + cs = 0 2a + 3as + as2 + -2bs + bs2 + -2c + cs = 0 The solution to this equation could not be determined.
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