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Simplifying 4a + -6b(-2a + 9b) = 0 4a + (-2a * -6b + 9b * -6b) = 0 4a + (12ab + -54b2) = 0 Solving 4a + 12ab + -54b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54b2' to each side of the equation. 4a + 12ab + -54b2 + 54b2 = 0 + 54b2 Combine like terms: -54b2 + 54b2 = 0 4a + 12ab + 0 = 0 + 54b2 4a + 12ab = 0 + 54b2 Remove the zero: 4a + 12ab = 54b2 Combine like terms: 54b2 + -54b2 = 0 4a + 12ab + -54b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2a + 6ab + -27b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2a + 6ab + -27b2)' equal to zero and attempt to solve: Simplifying 2a + 6ab + -27b2 = 0 Solving 2a + 6ab + -27b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '27b2' to each side of the equation. 2a + 6ab + -27b2 + 27b2 = 0 + 27b2 Combine like terms: -27b2 + 27b2 = 0 2a + 6ab + 0 = 0 + 27b2 2a + 6ab = 0 + 27b2 Remove the zero: 2a + 6ab = 27b2 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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