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Simplifying 0 = 7 + a(3 + b) + -2 0 = 7 + (3 * a + b * a) + -2 0 = 7 + (3a + ab) + -2 Reorder the terms: 0 = 7 + -2 + 3a + ab Combine like terms: 7 + -2 = 5 0 = 5 + 3a + ab Solving 0 = 5 + 3a + ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 0 + -3a = 5 + 3a + -3a + ab Remove the zero: -3a = 5 + 3a + -3a + ab Combine like terms: 3a + -3a = 0 -3a = 5 + 0 + ab -3a = 5 + ab Add '-1ab' to each side of the equation. -3a + -1ab = 5 + ab + -1ab Combine like terms: ab + -1ab = 0 -3a + -1ab = 5 + 0 -3a + -1ab = 5 Reorder the terms: -5 + -3a + -1ab = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -3a + -1ab = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 3a + ab) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 3a + ab)' equal to zero and attempt to solve: Simplifying 5 + 3a + ab = 0 Solving 5 + 3a + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3a + -5 + ab = 0 + -5 Reorder the terms: 5 + -5 + 3a + ab = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a + ab = 0 + -5 3a + ab = 0 + -5 Combine like terms: 0 + -5 = -5 3a + ab = -5 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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