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Simplifying 5ab * 5ab = 10ab Reorder the terms for easier multiplication: 5 * 5ab * ab = 10ab Multiply 5 * 5 25ab * ab = 10ab Multiply ab * ab 25a2b2 = 10ab Solving 25a2b2 = 10ab Solving for variable 'a'. Reorder the terms: -10ab + 25a2b2 = 10ab + -10ab Combine like terms: 10ab + -10ab = 0 -10ab + 25a2b2 = 0 Factor out the Greatest Common Factor (GCF), '5ab'. 5ab(-2 + 5ab) = 0 Ignore the factor 5.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 '(-2 + 5ab)' equal to zero and attempt to solve: Simplifying -2 + 5ab = 0 Solving -2 + 5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5ab = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5ab = 0 + 2 5ab = 0 + 2 Combine like terms: 0 + 2 = 2 5ab = 2 Divide each side by '5b'. a = 0.4b-1 Simplifying a = 0.4b-1Solution
a = {0.4b-1}
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