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Simplifying 14a2 + -10a = 2a Reorder the terms: -10a + 14a2 = 2a Solving -10a + 14a2 = 2a Solving for variable 'a'. Reorder the terms: -10a + -2a + 14a2 = 2a + -2a Combine like terms: -10a + -2a = -12a -12a + 14a2 = 2a + -2a Combine like terms: 2a + -2a = 0 -12a + 14a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-6 + 7a) = 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 '(-6 + 7a)' equal to zero and attempt to solve: Simplifying -6 + 7a = 0 Solving -6 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7a = 0 + 6 7a = 0 + 6 Combine like terms: 0 + 6 = 6 7a = 6 Divide each side by '7'. a = 0.8571428571 Simplifying a = 0.8571428571Solution
a = {0, 0.8571428571}
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