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Simplifying 40az2 + -16a2z = 0 Solving 40az2 + -16a2z = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8az'. 8az(5z + -2a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'az' equal to zero and attempt to solve: Simplifying az = 0 Solving az = 0 Move all terms containing a to the left, all other terms to the right. Simplifying az = 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 '(5z + -2a)' equal to zero and attempt to solve: Simplifying 5z + -2a = 0 Reorder the terms: -2a + 5z = 0 Solving -2a + 5z = 0 Move all terms containing a to the left, all other terms to the right. Add '-5z' to each side of the equation. -2a + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 -2a + 0 = 0 + -5z -2a = 0 + -5z Remove the zero: -2a = -5z Divide each side by '-2'. a = 2.5z Simplifying a = 2.5zSolution
a = {2.5z}
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