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Simplifying 35a3 * b6 + -45a5 * b6 = 0 Multiply a3 * b6 35a3b6 + -45a5 * b6 = 0 Multiply a5 * b6 35a3b6 + -45a5b6 = 0 Solving 35a3b6 + -45a5b6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a3b6'. 5a3b6(7 + -9a2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a3b6' equal to zero and attempt to solve: Simplifying a3b6 = 0 Solving a3b6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b6 = 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 '(7 + -9a2)' equal to zero and attempt to solve: Simplifying 7 + -9a2 = 0 Solving 7 + -9a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9a2 = 0 + -7 -9a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -9a2 = -7 Divide each side by '-9'. a2 = 0.7777777778 Simplifying a2 = 0.7777777778 Take the square root of each side: a = {-0.881917104, 0.881917104}Solution
a = {-0.881917104, 0.881917104}
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