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Simplifying 7a2 + -50a + 7 = 0 Reorder the terms: 7 + -50a + 7a2 = 0 Solving 7 + -50a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -7a)(7 + -1a) = 0Subproblem 1
Set the factor '(1 + -7a)' equal to zero and attempt to solve: Simplifying 1 + -7a = 0 Solving 1 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7a = 0 + -1 -7a = 0 + -1 Combine like terms: 0 + -1 = -1 -7a = -1 Divide each side by '-7'. a = 0.1428571429 Simplifying a = 0.1428571429Subproblem 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 = {0.1428571429, 7}
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