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Simplifying 12abx2 + 6a2bx3 + -30ab3 = 0 Reorder the terms: 12abx2 + -30ab3 + 6a2bx3 = 0 Solving 12abx2 + -30ab3 + 6a2bx3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6ab'. 6ab(2x2 + -5b2 + ax3) = 0 Ignore the factor 6.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 '(2x2 + -5b2 + ax3)' equal to zero and attempt to solve: Simplifying 2x2 + -5b2 + ax3 = 0 Reorder the terms: ax3 + -5b2 + 2x2 = 0 Solving ax3 + -5b2 + 2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5b2' to each side of the equation. ax3 + -5b2 + 5b2 + 2x2 = 0 + 5b2 Combine like terms: -5b2 + 5b2 = 0 ax3 + 0 + 2x2 = 0 + 5b2 ax3 + 2x2 = 0 + 5b2 Remove the zero: ax3 + 2x2 = 5b2 Add '-2x2' to each side of the equation. ax3 + 2x2 + -2x2 = 5b2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 ax3 + 0 = 5b2 + -2x2 ax3 = 5b2 + -2x2 Divide each side by 'x3'. a = 5b2x-3 + -2x-1 Simplifying a = 5b2x-3 + -2x-1Solution
a = {5b2x-3 + -2x-1}
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