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Simplifying 7a2b + -28ab + 14ab2 = 0 Reorder the terms: -28ab + 14ab2 + 7a2b = 0 Solving -28ab + 14ab2 + 7a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7ab'. 7ab(-4 + 2b + a) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(-4 + 2b + a)' equal to zero and attempt to solve: Simplifying -4 + 2b + a = 0 Reorder the terms: -4 + a + 2b = 0 Solving -4 + a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + a + 4 + 2b = 0 + 4 Reorder the terms: -4 + 4 + a + 2b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a + 2b = 0 + 4 a + 2b = 0 + 4 Combine like terms: 0 + 4 = 4 a + 2b = 4 Add '-2b' to each side of the equation. a + 2b + -2b = 4 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 4 + -2b a = 4 + -2b Simplifying a = 4 + -2bSolution
a = {4 + -2b}
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