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Simplifying 6a2 + -23a + 10 = 0 Reorder the terms: 10 + -23a + 6a2 = 0 Solving 10 + -23a + 6a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -2a)(10 + -3a) = 0Subproblem 1
Set the factor '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5Subproblem 2
Set the factor '(10 + -3a)' equal to zero and attempt to solve: Simplifying 10 + -3a = 0 Solving 10 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 0 + -10 -3a = 0 + -10 Combine like terms: 0 + -10 = -10 -3a = -10 Divide each side by '-3'. a = 3.333333333 Simplifying a = 3.333333333Solution
a = {0.5, 3.333333333}
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