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Simplifying 7a2 + -32a + -60 = 0 Reorder the terms: -60 + -32a + 7a2 = 0 Solving -60 + -32a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (-10 + -7a)(6 + -1a) = 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 '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 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 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6Solution
a = {-1.428571429, 6}
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