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Simplifying (3x + 8)(5x + -20) = (5x + 4y) Reorder the terms: (8 + 3x)(5x + -20) = (5x + 4y) Reorder the terms: (8 + 3x)(-20 + 5x) = (5x + 4y) Multiply (8 + 3x) * (-20 + 5x) (8(-20 + 5x) + 3x * (-20 + 5x)) = (5x + 4y) ((-20 * 8 + 5x * 8) + 3x * (-20 + 5x)) = (5x + 4y) ((-160 + 40x) + 3x * (-20 + 5x)) = (5x + 4y) (-160 + 40x + (-20 * 3x + 5x * 3x)) = (5x + 4y) (-160 + 40x + (-60x + 15x2)) = (5x + 4y) Combine like terms: 40x + -60x = -20x (-160 + -20x + 15x2) = (5x + 4y) Remove parenthesis around (5x + 4y) -160 + -20x + 15x2 = 5x + 4y Solving -160 + -20x + 15x2 = 5x + 4y Solving for variable 'x'. Reorder the terms: -160 + -20x + -5x + 15x2 + -4y = 5x + 4y + -5x + -4y Combine like terms: -20x + -5x = -25x -160 + -25x + 15x2 + -4y = 5x + 4y + -5x + -4y Reorder the terms: -160 + -25x + 15x2 + -4y = 5x + -5x + 4y + -4y Combine like terms: 5x + -5x = 0 -160 + -25x + 15x2 + -4y = 0 + 4y + -4y -160 + -25x + 15x2 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -160 + -25x + 15x2 + -4y = 0 The solution to this equation could not be determined.
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