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Simplifying 7a2 = 19a + -10 Reorder the terms: 7a2 = -10 + 19a Solving 7a2 = -10 + 19a Solving for variable 'a'. Reorder the terms: 10 + -19a + 7a2 = -10 + 19a + 10 + -19a Reorder the terms: 10 + -19a + 7a2 = -10 + 10 + 19a + -19a Combine like terms: -10 + 10 = 0 10 + -19a + 7a2 = 0 + 19a + -19a 10 + -19a + 7a2 = 19a + -19a Combine like terms: 19a + -19a = 0 10 + -19a + 7a2 = 0 Factor a trinomial. (5 + -7a)(2 + -1a) = 0Subproblem 1
Set the factor '(5 + -7a)' equal to zero and attempt to solve: Simplifying 5 + -7a = 0 Solving 5 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 0 + -5 -7a = 0 + -5 Combine like terms: 0 + -5 = -5 -7a = -5 Divide each side by '-7'. a = 0.7142857143 Simplifying a = 0.7142857143Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {0.7142857143, 2}
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