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Simplifying 42a2 + a = 30 Reorder the terms: a + 42a2 = 30 Solving a + 42a2 = 30 Solving for variable 'a'. Reorder the terms: -30 + a + 42a2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + a + 42a2 = 0 Factor a trinomial. (-6 + -7a)(5 + -6a) = 0Subproblem 1
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 = -0.8571428571Subproblem 2
Set the factor '(5 + -6a)' equal to zero and attempt to solve: Simplifying 5 + -6a = 0 Solving 5 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 0 + -5 -6a = 0 + -5 Combine like terms: 0 + -5 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333Solution
a = {-0.8571428571, 0.8333333333}
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