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Simplifying 21a2 + -35a = a2 Reorder the terms: -35a + 21a2 = a2 Solving -35a + 21a2 = a2 Solving for variable 'a'. Combine like terms: 21a2 + -1a2 = 20a2 -35a + 20a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -35a + 20a2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-7 + 4a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-7 + 4a)' equal to zero and attempt to solve: Simplifying -7 + 4a = 0 Solving -7 + 4a = 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 + 4a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4a = 0 + 7 4a = 0 + 7 Combine like terms: 0 + 7 = 7 4a = 7 Divide each side by '4'. a = 1.75 Simplifying a = 1.75Solution
a = {0, 1.75}
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