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Simplifying 2a2 = 7a Solving 2a2 = 7a Solving for variable 'a'. Reorder the terms: -7a + 2a2 = 7a + -7a Combine like terms: 7a + -7a = 0 -7a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-7 + 2a) = 0Subproblem 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 + 2a)' equal to zero and attempt to solve: Simplifying -7 + 2a = 0 Solving -7 + 2a = 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 + 2a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 0 + 7 2a = 0 + 7 Combine like terms: 0 + 7 = 7 2a = 7 Divide each side by '2'. a = 3.5 Simplifying a = 3.5Solution
a = {0, 3.5}
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