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Simplifying -63ab2 + 18b2 + -27ab3 = 0 Reorder the terms: -63ab2 + -27ab3 + 18b2 = 0 Solving -63ab2 + -27ab3 + 18b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b2' to each side of the equation. -63ab2 + -27ab3 + 18b2 + -18b2 = 0 + -18b2 Combine like terms: 18b2 + -18b2 = 0 -63ab2 + -27ab3 + 0 = 0 + -18b2 -63ab2 + -27ab3 = 0 + -18b2 Remove the zero: -63ab2 + -27ab3 = -18b2 Combine like terms: -18b2 + 18b2 = 0 -63ab2 + -27ab3 + 18b2 = 0 Factor out the Greatest Common Factor (GCF), '9b2'. 9b2(-7a + -3ab + 2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. b2 + -1b2 = 0 + -1b2 Remove the zero: 0 = -1b2 Simplifying 0 = -1b2 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 '(-7a + -3ab + 2)' equal to zero and attempt to solve: Simplifying -7a + -3ab + 2 = 0 Reorder the terms: 2 + -7a + -3ab = 0 Solving 2 + -7a + -3ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7a + -2 + -3ab = 0 + -2 Reorder the terms: 2 + -2 + -7a + -3ab = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7a + -3ab = 0 + -2 -7a + -3ab = 0 + -2 Combine like terms: 0 + -2 = -2 -7a + -3ab = -2 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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