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Simplifying 25a2 + 25a = 14 Reorder the terms: 25a + 25a2 = 14 Solving 25a + 25a2 = 14 Solving for variable 'a'. Reorder the terms: -14 + 25a + 25a2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 25a + 25a2 = 0 Factor a trinomial. (-7 + -5a)(2 + -5a) = 0Subproblem 1
Set the factor '(-7 + -5a)' equal to zero and attempt to solve: Simplifying -7 + -5a = 0 Solving -7 + -5a = 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 + -5a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = 0 + 7 -5a = 0 + 7 Combine like terms: 0 + 7 = 7 -5a = 7 Divide each side by '-5'. a = -1.4 Simplifying a = -1.4Subproblem 2
Set the factor '(2 + -5a)' equal to zero and attempt to solve: Simplifying 2 + -5a = 0 Solving 2 + -5a = 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 + -5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = 0 + -2 -5a = 0 + -2 Combine like terms: 0 + -2 = -2 -5a = -2 Divide each side by '-5'. a = 0.4 Simplifying a = 0.4Solution
a = {-1.4, 0.4}
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