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Simplifying 10a2 + -23a + -35 = 7 Reorder the terms: -35 + -23a + 10a2 = 7 Solving -35 + -23a + 10a2 = 7 Solving for variable 'a'. Reorder the terms: -35 + -7 + -23a + 10a2 = 7 + -7 Combine like terms: -35 + -7 = -42 -42 + -23a + 10a2 = 7 + -7 Combine like terms: 7 + -7 = 0 -42 + -23a + 10a2 = 0 Factor a trinomial. (-6 + -5a)(7 + -2a) = 0Subproblem 1
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 = -1.2Subproblem 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 = {-1.2, 3.5}
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