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Simplifying 35a2 + -42a + 30a + -36 = 0 Reorder the terms: -36 + -42a + 30a + 35a2 = 0 Combine like terms: -42a + 30a = -12a -36 + -12a + 35a2 = 0 Solving -36 + -12a + 35a2 = 0 Solving for variable 'a'. Factor a trinomial. (-6 + -7a)(6 + -5a) = 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 '(6 + -5a)' equal to zero and attempt to solve: Simplifying 6 + -5a = 0 Solving 6 + -5a = 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 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2Solution
a = {-0.8571428571, 1.2}
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