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Simplifying (2a2b + -7ab + 6b2) + -1(5ab + -3b2 + -4a2b) = 0 Reorder the terms: (-7ab + 2a2b + 6b2) + -1(5ab + -3b2 + -4a2b) = 0 Remove parenthesis around (-7ab + 2a2b + 6b2) -7ab + 2a2b + 6b2 + -1(5ab + -3b2 + -4a2b) = 0 Reorder the terms: -7ab + 2a2b + 6b2 + -1(5ab + -4a2b + -3b2) = 0 -7ab + 2a2b + 6b2 + (5ab * -1 + -4a2b * -1 + -3b2 * -1) = 0 -7ab + 2a2b + 6b2 + (-5ab + 4a2b + 3b2) = 0 Reorder the terms: -7ab + -5ab + 2a2b + 4a2b + 6b2 + 3b2 = 0 Combine like terms: -7ab + -5ab = -12ab -12ab + 2a2b + 4a2b + 6b2 + 3b2 = 0 Combine like terms: 2a2b + 4a2b = 6a2b -12ab + 6a2b + 6b2 + 3b2 = 0 Combine like terms: 6b2 + 3b2 = 9b2 -12ab + 6a2b + 9b2 = 0 Solving -12ab + 6a2b + 9b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-4a + 2a2 + 3b) = 0 Ignore the factor 3.Subproblem 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 '(-4a + 2a2 + 3b)' equal to zero and attempt to solve: Simplifying -4a + 2a2 + 3b = 0 Solving -4a + 2a2 + 3b = 0 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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