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Simplifying (5x + -4)(5x + -4)(5x + -4) = 64 Reorder the terms: (-4 + 5x)(5x + -4)(5x + -4) = 64 Reorder the terms: (-4 + 5x)(-4 + 5x)(5x + -4) = 64 Reorder the terms: (-4 + 5x)(-4 + 5x)(-4 + 5x) = 64 Multiply (-4 + 5x) * (-4 + 5x) (-4(-4 + 5x) + 5x * (-4 + 5x))(-4 + 5x) = 64 ((-4 * -4 + 5x * -4) + 5x * (-4 + 5x))(-4 + 5x) = 64 ((16 + -20x) + 5x * (-4 + 5x))(-4 + 5x) = 64 (16 + -20x + (-4 * 5x + 5x * 5x))(-4 + 5x) = 64 (16 + -20x + (-20x + 25x2))(-4 + 5x) = 64 Combine like terms: -20x + -20x = -40x (16 + -40x + 25x2)(-4 + 5x) = 64 Multiply (16 + -40x + 25x2) * (-4 + 5x) (16(-4 + 5x) + -40x * (-4 + 5x) + 25x2 * (-4 + 5x)) = 64 ((-4 * 16 + 5x * 16) + -40x * (-4 + 5x) + 25x2 * (-4 + 5x)) = 64 ((-64 + 80x) + -40x * (-4 + 5x) + 25x2 * (-4 + 5x)) = 64 (-64 + 80x + (-4 * -40x + 5x * -40x) + 25x2 * (-4 + 5x)) = 64 (-64 + 80x + (160x + -200x2) + 25x2 * (-4 + 5x)) = 64 (-64 + 80x + 160x + -200x2 + (-4 * 25x2 + 5x * 25x2)) = 64 (-64 + 80x + 160x + -200x2 + (-100x2 + 125x3)) = 64 Combine like terms: 80x + 160x = 240x (-64 + 240x + -200x2 + -100x2 + 125x3) = 64 Combine like terms: -200x2 + -100x2 = -300x2 (-64 + 240x + -300x2 + 125x3) = 64 Solving -64 + 240x + -300x2 + 125x3 = 64 Solving for variable 'x'. Reorder the terms: -64 + -64 + 240x + -300x2 + 125x3 = 64 + -64 Combine like terms: -64 + -64 = -128 -128 + 240x + -300x2 + 125x3 = 64 + -64 Combine like terms: 64 + -64 = 0 -128 + 240x + -300x2 + 125x3 = 0 The solution to this equation could not be determined.
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