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Simplifying (3a + -4b + 1) * and(2a + 5b + -3) = 0 Reorder the terms: (1 + 3a + -4b) * and(2a + 5b + -3) = 0 Reorder the terms: (1 + 3a + -4b) * adn(-3 + 2a + 5b) = 0 Reorder the terms for easier multiplication: adn(1 + 3a + -4b)(-3 + 2a + 5b) = 0 Multiply (1 + 3a + -4b) * (-3 + 2a + 5b) adn(1(-3 + 2a + 5b) + 3a * (-3 + 2a + 5b) + -4b * (-3 + 2a + 5b)) = 0 adn((-3 * 1 + 2a * 1 + 5b * 1) + 3a * (-3 + 2a + 5b) + -4b * (-3 + 2a + 5b)) = 0 adn((-3 + 2a + 5b) + 3a * (-3 + 2a + 5b) + -4b * (-3 + 2a + 5b)) = 0 adn(-3 + 2a + 5b + (-3 * 3a + 2a * 3a + 5b * 3a) + -4b * (-3 + 2a + 5b)) = 0 Reorder the terms: adn(-3 + 2a + 5b + (-9a + 15ab + 6a2) + -4b * (-3 + 2a + 5b)) = 0 adn(-3 + 2a + 5b + (-9a + 15ab + 6a2) + -4b * (-3 + 2a + 5b)) = 0 adn(-3 + 2a + 5b + -9a + 15ab + 6a2 + (-3 * -4b + 2a * -4b + 5b * -4b)) = 0 Reorder the terms: adn(-3 + 2a + 5b + -9a + 15ab + 6a2 + (-8ab + 12b + -20b2)) = 0 adn(-3 + 2a + 5b + -9a + 15ab + 6a2 + (-8ab + 12b + -20b2)) = 0 Reorder the terms: adn(-3 + 2a + -9a + 15ab + -8ab + 6a2 + 5b + 12b + -20b2) = 0 Combine like terms: 2a + -9a = -7a adn(-3 + -7a + 15ab + -8ab + 6a2 + 5b + 12b + -20b2) = 0 Combine like terms: 15ab + -8ab = 7ab adn(-3 + -7a + 7ab + 6a2 + 5b + 12b + -20b2) = 0 Combine like terms: 5b + 12b = 17b adn(-3 + -7a + 7ab + 6a2 + 17b + -20b2) = 0 (-3 * adn + -7a * adn + 7ab * adn + 6a2 * adn + 17b * adn + -20b2 * adn) = 0 Reorder the terms: (17abdn + -20ab2dn + -3adn + 7a2bdn + -7a2dn + 6a3dn) = 0 (17abdn + -20ab2dn + -3adn + 7a2bdn + -7a2dn + 6a3dn) = 0 Solving 17abdn + -20ab2dn + -3adn + 7a2bdn + -7a2dn + 6a3dn = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'adn'. adn(17b + -20b2 + -3 + 7ab + -7a + 6a2) = 0Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve: Simplifying adn = 0 Solving adn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(17b + -20b2 + -3 + 7ab + -7a + 6a2)' equal to zero and attempt to solve: Simplifying 17b + -20b2 + -3 + 7ab + -7a + 6a2 = 0 Reorder the terms: -3 + -7a + 7ab + 6a2 + 17b + -20b2 = 0 Solving -3 + -7a + 7ab + 6a2 + 17b + -20b2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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