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Simplifying -6a2 + 25a + -14 = 0 Reorder the terms: -14 + 25a + -6a2 = 0 Solving -14 + 25a + -6a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + 2a)(2 + -3a) = 0Subproblem 1
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 = 3.5Subproblem 2
Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {3.5, 0.6666666667}
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