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Simplifying 0 = a(2a2 + 7a + -10) + -5(2a2 + 7a + -10) Reorder the terms: 0 = a(-10 + 7a + 2a2) + -5(2a2 + 7a + -10) 0 = (-10 * a + 7a * a + 2a2 * a) + -5(2a2 + 7a + -10) 0 = (-10a + 7a2 + 2a3) + -5(2a2 + 7a + -10) Reorder the terms: 0 = -10a + 7a2 + 2a3 + -5(-10 + 7a + 2a2) 0 = -10a + 7a2 + 2a3 + (-10 * -5 + 7a * -5 + 2a2 * -5) 0 = -10a + 7a2 + 2a3 + (50 + -35a + -10a2) Reorder the terms: 0 = 50 + -10a + -35a + 7a2 + -10a2 + 2a3 Combine like terms: -10a + -35a = -45a 0 = 50 + -45a + 7a2 + -10a2 + 2a3 Combine like terms: 7a2 + -10a2 = -3a2 0 = 50 + -45a + -3a2 + 2a3 Solving 0 = 50 + -45a + -3a2 + 2a3 Solving for variable 'a'. Combine like terms: 0 + -50 = -50 -50 + 45a + 3a2 + -2a3 = 50 + -45a + -3a2 + 2a3 + -50 + 45a + 3a2 + -2a3 Reorder the terms: -50 + 45a + 3a2 + -2a3 = 50 + -50 + -45a + 45a + -3a2 + 3a2 + 2a3 + -2a3 Combine like terms: 50 + -50 = 0 -50 + 45a + 3a2 + -2a3 = 0 + -45a + 45a + -3a2 + 3a2 + 2a3 + -2a3 -50 + 45a + 3a2 + -2a3 = -45a + 45a + -3a2 + 3a2 + 2a3 + -2a3 Combine like terms: -45a + 45a = 0 -50 + 45a + 3a2 + -2a3 = 0 + -3a2 + 3a2 + 2a3 + -2a3 -50 + 45a + 3a2 + -2a3 = -3a2 + 3a2 + 2a3 + -2a3 Combine like terms: -3a2 + 3a2 = 0 -50 + 45a + 3a2 + -2a3 = 0 + 2a3 + -2a3 -50 + 45a + 3a2 + -2a3 = 2a3 + -2a3 Combine like terms: 2a3 + -2a3 = 0 -50 + 45a + 3a2 + -2a3 = 0 The solution to this equation could not be determined.
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