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Simplifying -4a2b(6ab2 + -7a3) = 0 (6ab2 * -4a2b + -7a3 * -4a2b) = 0 (-24a3b3 + 28a5b) = 0 Solving -24a3b3 + 28a5b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a3b'. 4a3b(-6b2 + 7a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve: Simplifying a3b = 0 Solving a3b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b = 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 '(-6b2 + 7a2)' equal to zero and attempt to solve: Simplifying -6b2 + 7a2 = 0 Reorder the terms: 7a2 + -6b2 = 0 Solving 7a2 + -6b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '6b2' to each side of the equation. 7a2 + -6b2 + 6b2 = 0 + 6b2 Combine like terms: -6b2 + 6b2 = 0 7a2 + 0 = 0 + 6b2 7a2 = 0 + 6b2 Remove the zero: 7a2 = 6b2 Divide each side by '7'. a2 = 0.8571428571b2 Simplifying a2 = 0.8571428571b2 Take the square root of each side: a = {-0.9258201b, 0.9258201b}Solution
a = {-0.9258201b, 0.9258201b}
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