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Simplifying (2a + -5)(4a2 + 10a + 25) = 0 Reorder the terms: (-5 + 2a)(4a2 + 10a + 25) = 0 Reorder the terms: (-5 + 2a)(25 + 10a + 4a2) = 0 Multiply (-5 + 2a) * (25 + 10a + 4a2) (-5(25 + 10a + 4a2) + 2a * (25 + 10a + 4a2)) = 0 ((25 * -5 + 10a * -5 + 4a2 * -5) + 2a * (25 + 10a + 4a2)) = 0 ((-125 + -50a + -20a2) + 2a * (25 + 10a + 4a2)) = 0 (-125 + -50a + -20a2 + (25 * 2a + 10a * 2a + 4a2 * 2a)) = 0 (-125 + -50a + -20a2 + (50a + 20a2 + 8a3)) = 0 Reorder the terms: (-125 + -50a + 50a + -20a2 + 20a2 + 8a3) = 0 Combine like terms: -50a + 50a = 0 (-125 + 0 + -20a2 + 20a2 + 8a3) = 0 (-125 + -20a2 + 20a2 + 8a3) = 0 Combine like terms: -20a2 + 20a2 = 0 (-125 + 0 + 8a3) = 0 (-125 + 8a3) = 0 Solving -125 + 8a3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 8a3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 8a3 = 0 + 125 8a3 = 0 + 125 Combine like terms: 0 + 125 = 125 8a3 = 125 Divide each side by '8'. a3 = 15.625 Simplifying a3 = 15.625 Reorder the terms: -15.625 + a3 = 15.625 + -15.625 Combine like terms: 15.625 + -15.625 = 0.000 -15.625 + a3 = 0.000 The solution to this equation could not be determined.
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