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Simplifying 14a2 + -1a + -30 = 0 Reorder the terms: -30 + -1a + 14a2 = 0 Solving -30 + -1a + 14a2 = 0 Solving for variable 'a'. Factor a trinomial. (-10 + -7a)(3 + -2a) = 0Subproblem 1
Set the factor '(-10 + -7a)' equal to zero and attempt to solve: Simplifying -10 + -7a = 0 Solving -10 + -7a = 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 + -7a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7a = 0 + 10 -7a = 0 + 10 Combine like terms: 0 + 10 = 10 -7a = 10 Divide each side by '-7'. a = -1.428571429 Simplifying a = -1.428571429Subproblem 2
Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5Solution
a = {-1.428571429, 1.5}
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