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Simplifying 2a2 + -7a + -130 = 0 Reorder the terms: -130 + -7a + 2a2 = 0 Solving -130 + -7a + 2a2 = 0 Solving for variable 'a'. Factor a trinomial. (-13 + -2a)(10 + -1a) = 0Subproblem 1
Set the factor '(-13 + -2a)' equal to zero and attempt to solve: Simplifying -13 + -2a = 0 Solving -13 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2a = 0 + 13 -2a = 0 + 13 Combine like terms: 0 + 13 = 13 -2a = 13 Divide each side by '-2'. a = -6.5 Simplifying a = -6.5Subproblem 2
Set the factor '(10 + -1a)' equal to zero and attempt to solve: Simplifying 10 + -1a = 0 Solving 10 + -1a = 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 + -1a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 0 + -10 -1a = 0 + -10 Combine like terms: 0 + -10 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10Solution
a = {-6.5, 10}
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