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Simplifying 4a2 = 25a + 21 Reorder the terms: 4a2 = 21 + 25a Solving 4a2 = 21 + 25a Solving for variable 'a'. Reorder the terms: -21 + -25a + 4a2 = 21 + 25a + -21 + -25a Reorder the terms: -21 + -25a + 4a2 = 21 + -21 + 25a + -25a Combine like terms: 21 + -21 = 0 -21 + -25a + 4a2 = 0 + 25a + -25a -21 + -25a + 4a2 = 25a + -25a Combine like terms: 25a + -25a = 0 -21 + -25a + 4a2 = 0 Factor a trinomial. (-3 + -4a)(7 + -1a) = 0Subproblem 1
Set the factor '(-3 + -4a)' equal to zero and attempt to solve: Simplifying -3 + -4a = 0 Solving -3 + -4a = 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 + -4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4a = 0 + 3 -4a = 0 + 3 Combine like terms: 0 + 3 = 3 -4a = 3 Divide each side by '-4'. a = -0.75 Simplifying a = -0.75Subproblem 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 = {-0.75, 7}
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