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Simplifying 7x(a + 3) = 14a Reorder the terms: 7x(3 + a) = 14a (3 * 7x + a * 7x) = 14a Reorder the terms: (7ax + 21x) = 14a (7ax + 21x) = 14a Solving 7ax + 21x = 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 7ax + -14a + 21x = 14a + -14a Reorder the terms: -14a + 7ax + 21x = 14a + -14a Combine like terms: 14a + -14a = 0 -14a + 7ax + 21x = 0 Add '-21x' to each side of the equation. -14a + 7ax + 21x + -21x = 0 + -21x Combine like terms: 21x + -21x = 0 -14a + 7ax + 0 = 0 + -21x -14a + 7ax = 0 + -21x Remove the zero: -14a + 7ax = -21x Combine like terms: -21x + 21x = 0 -14a + 7ax + 21x = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-2a + ax + 3x) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2a + ax + 3x)' equal to zero and attempt to solve: Simplifying -2a + ax + 3x = 0 Solving -2a + ax + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. -2a + ax + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -2a + ax + 0 = 0 + -3x -2a + ax = 0 + -3x Remove the zero: -2a + ax = -3x 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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