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Simplifying (11a + 7)(4a + -7) = 0 Reorder the terms: (7 + 11a)(4a + -7) = 0 Reorder the terms: (7 + 11a)(-7 + 4a) = 0 Multiply (7 + 11a) * (-7 + 4a) (7(-7 + 4a) + 11a * (-7 + 4a)) = 0 ((-7 * 7 + 4a * 7) + 11a * (-7 + 4a)) = 0 ((-49 + 28a) + 11a * (-7 + 4a)) = 0 (-49 + 28a + (-7 * 11a + 4a * 11a)) = 0 (-49 + 28a + (-77a + 44a2)) = 0 Combine like terms: 28a + -77a = -49a (-49 + -49a + 44a2) = 0 Solving -49 + -49a + 44a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -11a)(7 + -4a) = 0Subproblem 1
Set the factor '(-7 + -11a)' equal to zero and attempt to solve: Simplifying -7 + -11a = 0 Solving -7 + -11a = 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 + -11a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11a = 0 + 7 -11a = 0 + 7 Combine like terms: 0 + 7 = 7 -11a = 7 Divide each side by '-11'. a = -0.6363636364 Simplifying a = -0.6363636364Subproblem 2
Set the factor '(7 + -4a)' equal to zero and attempt to solve: Simplifying 7 + -4a = 0 Solving 7 + -4a = 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 + -4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 0 + -7 -4a = 0 + -7 Combine like terms: 0 + -7 = -7 -4a = -7 Divide each side by '-4'. a = 1.75 Simplifying a = 1.75Solution
a = {-0.6363636364, 1.75}
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