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Simplifying (4m + -1a)(4m + a) = 0 Reorder the terms: (-1a + 4m)(4m + a) = 0 Reorder the terms: (-1a + 4m)(a + 4m) = 0 Multiply (-1a + 4m) * (a + 4m) (-1a * (a + 4m) + 4m * (a + 4m)) = 0 ((a * -1a + 4m * -1a) + 4m * (a + 4m)) = 0 Reorder the terms: ((-4am + -1a2) + 4m * (a + 4m)) = 0 ((-4am + -1a2) + 4m * (a + 4m)) = 0 (-4am + -1a2 + (a * 4m + 4m * 4m)) = 0 (-4am + -1a2 + (4am + 16m2)) = 0 Reorder the terms: (-4am + 4am + -1a2 + 16m2) = 0 Combine like terms: -4am + 4am = 0 (0 + -1a2 + 16m2) = 0 (-1a2 + 16m2) = 0 Solving -1a2 + 16m2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16m2' to each side of the equation. -1a2 + 16m2 + -16m2 = 0 + -16m2 Combine like terms: 16m2 + -16m2 = 0 -1a2 + 0 = 0 + -16m2 -1a2 = 0 + -16m2 Remove the zero: -1a2 = -16m2 Divide each side by '-1'. a2 = 16m2 Simplifying a2 = 16m2 Take the square root of each side: a = {-4m, 4m}
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