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Simplifying 9a + 7x + -2a + 7ax = 0 Reorder the terms: 9a + -2a + 7ax + 7x = 0 Combine like terms: 9a + -2a = 7a 7a + 7ax + 7x = 0 Solving 7a + 7ax + 7x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7x' to each side of the equation. 7a + 7ax + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 7a + 7ax + 0 = 0 + -7x 7a + 7ax = 0 + -7x Remove the zero: 7a + 7ax = -7x Combine like terms: -7x + 7x = 0 7a + 7ax + 7x = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(a + ax + x) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(a + ax + x)' equal to zero and attempt to solve: Simplifying a + ax + x = 0 Solving a + ax + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. a + ax + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 a + ax + 0 = 0 + -1x a + ax = 0 + -1x Remove the zero: a + ax = -1x 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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