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Simplifying 96A4 + -150A2 = 0 Reorder the terms: -150A2 + 96A4 = 0 Solving -150A2 + 96A4 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), '6A2'. 6A2(-25 + 16A2) = 0 Factor a difference between two squares. 6A2((5 + 4A)(-5 + 4A)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'A2' equal to zero and attempt to solve: Simplifying A2 = 0 Solving A2 = 0 Move all terms containing A to the left, all other terms to the right. Simplifying A2 = 0 Take the square root of each side: A = {0}Subproblem 2
Set the factor '(5 + 4A)' equal to zero and attempt to solve: Simplifying 5 + 4A = 0 Solving 5 + 4A = 0 Move all terms containing A to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4A = 0 + -5 4A = 0 + -5 Combine like terms: 0 + -5 = -5 4A = -5 Divide each side by '4'. A = -1.25 Simplifying A = -1.25Subproblem 3
Set the factor '(-5 + 4A)' equal to zero and attempt to solve: Simplifying -5 + 4A = 0 Solving -5 + 4A = 0 Move all terms containing A to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4A = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4A = 0 + 5 4A = 0 + 5 Combine like terms: 0 + 5 = 5 4A = 5 Divide each side by '4'. A = 1.25 Simplifying A = 1.25Solution
A = {0, -1.25, 1.25}
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