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Simplifying 2a2 + -7a * 6 = 0 Reorder the terms for easier multiplication: 2a2 + -7 * 6a = 0 Multiply -7 * 6 2a2 + -42a = 0 Reorder the terms: -42a + 2a2 = 0 Solving -42a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-21 + a) = 0 Ignore the factor 2.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 '(-21 + a)' equal to zero and attempt to solve: Simplifying -21 + a = 0 Solving -21 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + a = 0 + 21 Combine like terms: -21 + 21 = 0 0 + a = 0 + 21 a = 0 + 21 Combine like terms: 0 + 21 = 21 a = 21 Simplifying a = 21Solution
a = {0, 21}
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