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Simplifying 3x2 + 9ax = 21a Reorder the terms: 9ax + 3x2 = 21a Solving 9ax + 3x2 = 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 9ax + -21a + 3x2 = 21a + -21a Reorder the terms: -21a + 9ax + 3x2 = 21a + -21a Combine like terms: 21a + -21a = 0 -21a + 9ax + 3x2 = 0 Add '-3x2' to each side of the equation. -21a + 9ax + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -21a + 9ax + 0 = 0 + -3x2 -21a + 9ax = 0 + -3x2 Remove the zero: -21a + 9ax = -3x2 Combine like terms: -3x2 + 3x2 = 0 -21a + 9ax + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7a + 3ax + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7a + 3ax + x2)' equal to zero and attempt to solve: Simplifying -7a + 3ax + x2 = 0 Solving -7a + 3ax + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x2' to each side of the equation. -7a + 3ax + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -7a + 3ax + 0 = 0 + -1x2 -7a + 3ax = 0 + -1x2 Remove the zero: -7a + 3ax = -1x2 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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