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Simplifying 10a2 = 3(7a + -3) Reorder the terms: 10a2 = 3(-3 + 7a) 10a2 = (-3 * 3 + 7a * 3) 10a2 = (-9 + 21a) Solving 10a2 = -9 + 21a Solving for variable 'a'. Reorder the terms: 9 + -21a + 10a2 = -9 + 21a + 9 + -21a Reorder the terms: 9 + -21a + 10a2 = -9 + 9 + 21a + -21a Combine like terms: -9 + 9 = 0 9 + -21a + 10a2 = 0 + 21a + -21a 9 + -21a + 10a2 = 21a + -21a Combine like terms: 21a + -21a = 0 9 + -21a + 10a2 = 0 Factor a trinomial. (3 + -5a)(3 + -2a) = 0Subproblem 1
Set the factor '(3 + -5a)' equal to zero and attempt to solve: Simplifying 3 + -5a = 0 Solving 3 + -5a = 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 + -5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 0 + -3 -5a = 0 + -3 Combine like terms: 0 + -3 = -3 -5a = -3 Divide each side by '-5'. a = 0.6 Simplifying a = 0.6Subproblem 2
Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 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 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5Solution
a = {0.6, 1.5}
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