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Simplifying (5x + -4)(25x2 + 20x + 16) = 0 Reorder the terms: (-4 + 5x)(25x2 + 20x + 16) = 0 Reorder the terms: (-4 + 5x)(16 + 20x + 25x2) = 0 Multiply (-4 + 5x) * (16 + 20x + 25x2) (-4(16 + 20x + 25x2) + 5x * (16 + 20x + 25x2)) = 0 ((16 * -4 + 20x * -4 + 25x2 * -4) + 5x * (16 + 20x + 25x2)) = 0 ((-64 + -80x + -100x2) + 5x * (16 + 20x + 25x2)) = 0 (-64 + -80x + -100x2 + (16 * 5x + 20x * 5x + 25x2 * 5x)) = 0 (-64 + -80x + -100x2 + (80x + 100x2 + 125x3)) = 0 Reorder the terms: (-64 + -80x + 80x + -100x2 + 100x2 + 125x3) = 0 Combine like terms: -80x + 80x = 0 (-64 + 0 + -100x2 + 100x2 + 125x3) = 0 (-64 + -100x2 + 100x2 + 125x3) = 0 Combine like terms: -100x2 + 100x2 = 0 (-64 + 0 + 125x3) = 0 (-64 + 125x3) = 0 Solving -64 + 125x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 125x3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 125x3 = 0 + 64 125x3 = 0 + 64 Combine like terms: 0 + 64 = 64 125x3 = 64 Divide each side by '125'. x3 = 0.512 Simplifying x3 = 0.512 Reorder the terms: -0.512 + x3 = 0.512 + -0.512 Combine like terms: 0.512 + -0.512 = 0.000 -0.512 + x3 = 0.000 The solution to this equation could not be determined.
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