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Simplifying 5b * b + 4ab * b + -1b(a + -1b) = 0 Multiply b * b 5b2 + 4ab * b + -1b(a + -1b) = 0 Multiply ab * b 5b2 + 4ab2 + -1b(a + -1b) = 0 5b2 + 4ab2 + (a * -1b + -1b * -1b) = 0 5b2 + 4ab2 + (-1ab + 1b2) = 0 Reorder the terms: -1ab + 4ab2 + 5b2 + 1b2 = 0 Combine like terms: 5b2 + 1b2 = 6b2 -1ab + 4ab2 + 6b2 = 0 Solving -1ab + 4ab2 + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b2' to each side of the equation. -1ab + 4ab2 + 6b2 + -6b2 = 0 + -6b2 Combine like terms: 6b2 + -6b2 = 0 -1ab + 4ab2 + 0 = 0 + -6b2 -1ab + 4ab2 = 0 + -6b2 Remove the zero: -1ab + 4ab2 = -6b2 Combine like terms: -6b2 + 6b2 = 0 -1ab + 4ab2 + 6b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-1a + 4ab + 6b) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(-1a + 4ab + 6b)' equal to zero and attempt to solve: Simplifying -1a + 4ab + 6b = 0 Solving -1a + 4ab + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. -1a + 4ab + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 -1a + 4ab + 0 = 0 + -6b -1a + 4ab = 0 + -6b Remove the zero: -1a + 4ab = -6b 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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