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Simplifying (7a + -3)(a + -7) = 0 Reorder the terms: (-3 + 7a)(a + -7) = 0 Reorder the terms: (-3 + 7a)(-7 + a) = 0 Multiply (-3 + 7a) * (-7 + a) (-3(-7 + a) + 7a * (-7 + a)) = 0 ((-7 * -3 + a * -3) + 7a * (-7 + a)) = 0 ((21 + -3a) + 7a * (-7 + a)) = 0 (21 + -3a + (-7 * 7a + a * 7a)) = 0 (21 + -3a + (-49a + 7a2)) = 0 Combine like terms: -3a + -49a = -52a (21 + -52a + 7a2) = 0 Solving 21 + -52a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + -7a)(7 + -1a) = 0Subproblem 1
Set the factor '(3 + -7a)' equal to zero and attempt to solve: Simplifying 3 + -7a = 0 Solving 3 + -7a = 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 + -7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 0 + -3 -7a = 0 + -3 Combine like terms: 0 + -3 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 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 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Solution
a = {0.4285714286, 7}
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