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Simplifying y = (8x + -5)(8x + -5)(8x + -5)(8x + -5)(8x + -5)(8x + -5) Reorder the terms: y = (-5 + 8x)(8x + -5)(8x + -5)(8x + -5)(8x + -5)(8x + -5) Reorder the terms: y = (-5 + 8x)(-5 + 8x)(8x + -5)(8x + -5)(8x + -5)(8x + -5) Reorder the terms: y = (-5 + 8x)(-5 + 8x)(-5 + 8x)(8x + -5)(8x + -5)(8x + -5) Reorder the terms: y = (-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x)(8x + -5)(8x + -5) Reorder the terms: y = (-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x)(8x + -5) Reorder the terms: y = (-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) Multiply (-5 + 8x) * (-5 + 8x) y = (-5(-5 + 8x) + 8x * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) y = ((-5 * -5 + 8x * -5) + 8x * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) y = ((25 + -40x) + 8x * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) y = (25 + -40x + (-5 * 8x + 8x * 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) y = (25 + -40x + (-40x + 64x2))(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) Combine like terms: -40x + -40x = -80x y = (25 + -80x + 64x2)(-5 + 8x)(-5 + 8x)(-5 + 8x)(-5 + 8x) Multiply (25 + -80x + 64x2) * (-5 + 8x) y = (25(-5 + 8x) + -80x * (-5 + 8x) + 64x2 * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x) y = ((-5 * 25 + 8x * 25) + -80x * (-5 + 8x) + 64x2 * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x) y = ((-125 + 200x) + -80x * (-5 + 8x) + 64x2 * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x) y = (-125 + 200x + (-5 * -80x + 8x * -80x) + 64x2 * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x) y = (-125 + 200x + (400x + -640x2) + 64x2 * (-5 + 8x))(-5 + 8x)(-5 + 8x)(-5 + 8x) y = (-125 + 200x + 400x + -640x2 + (-5 * 64x2 + 8x * 64x2))(-5 + 8x)(-5 + 8x)(-5 + 8x) y = (-125 + 200x + 400x + -640x2 + (-320x2 + 512x3))(-5 + 8x)(-5 + 8x)(-5 + 8x) Combine like terms: 200x + 400x = 600x y = (-125 + 600x + -640x2 + -320x2 + 512x3)(-5 + 8x)(-5 + 8x)(-5 + 8x) Combine like terms: -640x2 + -320x2 = -960x2 y = (-125 + 600x + -960x2 + 512x3)(-5 + 8x)(-5 + 8x)(-5 + 8x) Multiply (-125 + 600x + -960x2 + 512x3) * (-5 + 8x) y = (-125(-5 + 8x) + 600x * (-5 + 8x) + -960x2 * (-5 + 8x) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = ((-5 * -125 + 8x * -125) + 600x * (-5 + 8x) + -960x2 * (-5 + 8x) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = ((625 + -1000x) + 600x * (-5 + 8x) + -960x2 * (-5 + 8x) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = (625 + -1000x + (-5 * 600x + 8x * 600x) + -960x2 * (-5 + 8x) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = (625 + -1000x + (-3000x + 4800x2) + -960x2 * (-5 + 8x) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = (625 + -1000x + -3000x + 4800x2 + (-5 * -960x2 + 8x * -960x2) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = (625 + -1000x + -3000x + 4800x2 + (4800x2 + -7680x3) + 512x3 * (-5 + 8x))(-5 + 8x)(-5 + 8x) y = (625 + -1000x + -3000x + 4800x2 + 4800x2 + -7680x3 + (-5 * 512x3 + 8x * 512x3))(-5 + 8x)(-5 + 8x) y = (625 + -1000x + -3000x + 4800x2 + 4800x2 + -7680x3 + (-2560x3 + 4096x4))(-5 + 8x)(-5 + 8x) Combine like terms: -1000x + -3000x = -4000x y = (625 + -4000x + 4800x2 + 4800x2 + -7680x3 + -2560x3 + 4096x4)(-5 + 8x)(-5 + 8x) Combine like terms: 4800x2 + 4800x2 = 9600x2 y = (625 + -4000x + 9600x2 + -7680x3 + -2560x3 + 4096x4)(-5 + 8x)(-5 + 8x) Combine like terms: -7680x3 + -2560x3 = -10240x3 y = (625 + -4000x + 9600x2 + -10240x3 + 4096x4)(-5 + 8x)(-5 + 8x) Multiply (625 + -4000x + 9600x2 + -10240x3 + 4096x4) * (-5 + 8x) y = (625(-5 + 8x) + -4000x * (-5 + 8x) + 9600x2 * (-5 + 8x) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = ((-5 * 625 + 8x * 625) + -4000x * (-5 + 8x) + 9600x2 * (-5 + 8x) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = ((-3125 + 5000x) + -4000x * (-5 + 8x) + 9600x2 * (-5 + 8x) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + (-5 * -4000x + 8x * -4000x) + 9600x2 * (-5 + 8x) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + (20000x + -32000x2) + 9600x2 * (-5 + 8x) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + 20000x + -32000x2 + (-5 * 9600x2 + 8x * 9600x2) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + 20000x + -32000x2 + (-48000x2 + 76800x3) + -10240x3 * (-5 + 8x) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + 20000x + -32000x2 + -48000x2 + 76800x3 + (-5 * -10240x3 + 8x * -10240x3) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + 20000x + -32000x2 + -48000x2 + 76800x3 + (51200x3 + -81920x4) + 4096x4 * (-5 + 8x))(-5 + 8x) y = (-3125 + 5000x + 20000x + -32000x2 + -48000x2 + 76800x3 + 51200x3 + -81920x4 + (-5 * 4096x4 + 8x * 4096x4))(-5 + 8x) y = (-3125 + 5000x + 20000x + -32000x2 + -48000x2 + 76800x3 + 51200x3 + -81920x4 + (-20480x4 + 32768x5))(-5 + 8x) Combine like terms: 5000x + 20000x = 25000x y = (-3125 + 25000x + -32000x2 + -48000x2 + 76800x3 + 51200x3 + -81920x4 + -20480x4 + 32768x5)(-5 + 8x) Combine like terms: -32000x2 + -48000x2 = -80000x2 y = (-3125 + 25000x + -80000x2 + 76800x3 + 51200x3 + -81920x4 + -20480x4 + 32768x5)(-5 + 8x) Combine like terms: 76800x3 + 51200x3 = 128000x3 y = (-3125 + 25000x + -80000x2 + 128000x3 + -81920x4 + -20480x4 + 32768x5)(-5 + 8x) Combine like terms: -81920x4 + -20480x4 = -102400x4 y = (-3125 + 25000x + -80000x2 + 128000x3 + -102400x4 + 32768x5)(-5 + 8x) Multiply (-3125 + 25000x + -80000x2 + 128000x3 + -102400x4 + 32768x5) * (-5 + 8x) y = (-3125(-5 + 8x) + 25000x * (-5 + 8x) + -80000x2 * (-5 + 8x) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = ((-5 * -3125 + 8x * -3125) + 25000x * (-5 + 8x) + -80000x2 * (-5 + 8x) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = ((15625 + -25000x) + 25000x * (-5 + 8x) + -80000x2 * (-5 + 8x) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + (-5 * 25000x + 8x * 25000x) + -80000x2 * (-5 + 8x) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + (-125000x + 200000x2) + -80000x2 * (-5 + 8x) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + (-5 * -80000x2 + 8x * -80000x2) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + (400000x2 + -640000x3) + 128000x3 * (-5 + 8x) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + 400000x2 + -640000x3 + (-5 * 128000x3 + 8x * 128000x3) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + 400000x2 + -640000x3 + (-640000x3 + 1024000x4) + -102400x4 * (-5 + 8x) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + 400000x2 + -640000x3 + -640000x3 + 1024000x4 + (-5 * -102400x4 + 8x * -102400x4) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + 400000x2 + -640000x3 + -640000x3 + 1024000x4 + (512000x4 + -819200x5) + 32768x5 * (-5 + 8x)) y = (15625 + -25000x + -125000x + 200000x2 + 400000x2 + -640000x3 + -640000x3 + 1024000x4 + 512000x4 + -819200x5 + (-5 * 32768x5 + 8x * 32768x5)) y = (15625 + -25000x + -125000x + 200000x2 + 400000x2 + -640000x3 + -640000x3 + 1024000x4 + 512000x4 + -819200x5 + (-163840x5 + 262144x6)) Combine like terms: -25000x + -125000x = -150000x y = (15625 + -150000x + 200000x2 + 400000x2 + -640000x3 + -640000x3 + 1024000x4 + 512000x4 + -819200x5 + -163840x5 + 262144x6) Combine like terms: 200000x2 + 400000x2 = 600000x2 y = (15625 + -150000x + 600000x2 + -640000x3 + -640000x3 + 1024000x4 + 512000x4 + -819200x5 + -163840x5 + 262144x6) Combine like terms: -640000x3 + -640000x3 = -1280000x3 y = (15625 + -150000x + 600000x2 + -1280000x3 + 1024000x4 + 512000x4 + -819200x5 + -163840x5 + 262144x6) Combine like terms: 1024000x4 + 512000x4 = 1536000x4 y = (15625 + -150000x + 600000x2 + -1280000x3 + 1536000x4 + -819200x5 + -163840x5 + 262144x6) Combine like terms: -819200x5 + -163840x5 = -983040x5 y = (15625 + -150000x + 600000x2 + -1280000x3 + 1536000x4 + -983040x5 + 262144x6) Solving y = 15625 + -150000x + 600000x2 + -1280000x3 + 1536000x4 + -983040x5 + 262144x6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 15625 + -150000x + 600000x2 + -1280000x3 + 1536000x4 + -983040x5 + 262144x6
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