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Simplifying (x + -5)(x + -4)(x + -8)(x + -10) = 72x2 Reorder the terms: (-5 + x)(x + -4)(x + -8)(x + -10) = 72x2 Reorder the terms: (-5 + x)(-4 + x)(x + -8)(x + -10) = 72x2 Reorder the terms: (-5 + x)(-4 + x)(-8 + x)(x + -10) = 72x2 Reorder the terms: (-5 + x)(-4 + x)(-8 + x)(-10 + x) = 72x2 Multiply (-5 + x) * (-4 + x) (-5(-4 + x) + x(-4 + x))(-8 + x)(-10 + x) = 72x2 ((-4 * -5 + x * -5) + x(-4 + x))(-8 + x)(-10 + x) = 72x2 ((20 + -5x) + x(-4 + x))(-8 + x)(-10 + x) = 72x2 (20 + -5x + (-4 * x + x * x))(-8 + x)(-10 + x) = 72x2 (20 + -5x + (-4x + x2))(-8 + x)(-10 + x) = 72x2 Combine like terms: -5x + -4x = -9x (20 + -9x + x2)(-8 + x)(-10 + x) = 72x2 Multiply (20 + -9x + x2) * (-8 + x) (20(-8 + x) + -9x * (-8 + x) + x2(-8 + x))(-10 + x) = 72x2 ((-8 * 20 + x * 20) + -9x * (-8 + x) + x2(-8 + x))(-10 + x) = 72x2 ((-160 + 20x) + -9x * (-8 + x) + x2(-8 + x))(-10 + x) = 72x2 (-160 + 20x + (-8 * -9x + x * -9x) + x2(-8 + x))(-10 + x) = 72x2 (-160 + 20x + (72x + -9x2) + x2(-8 + x))(-10 + x) = 72x2 (-160 + 20x + 72x + -9x2 + (-8 * x2 + x * x2))(-10 + x) = 72x2 (-160 + 20x + 72x + -9x2 + (-8x2 + x3))(-10 + x) = 72x2 Combine like terms: 20x + 72x = 92x (-160 + 92x + -9x2 + -8x2 + x3)(-10 + x) = 72x2 Combine like terms: -9x2 + -8x2 = -17x2 (-160 + 92x + -17x2 + x3)(-10 + x) = 72x2 Multiply (-160 + 92x + -17x2 + x3) * (-10 + x) (-160(-10 + x) + 92x * (-10 + x) + -17x2 * (-10 + x) + x3(-10 + x)) = 72x2 ((-10 * -160 + x * -160) + 92x * (-10 + x) + -17x2 * (-10 + x) + x3(-10 + x)) = 72x2 ((1600 + -160x) + 92x * (-10 + x) + -17x2 * (-10 + x) + x3(-10 + x)) = 72x2 (1600 + -160x + (-10 * 92x + x * 92x) + -17x2 * (-10 + x) + x3(-10 + x)) = 72x2 (1600 + -160x + (-920x + 92x2) + -17x2 * (-10 + x) + x3(-10 + x)) = 72x2 (1600 + -160x + -920x + 92x2 + (-10 * -17x2 + x * -17x2) + x3(-10 + x)) = 72x2 (1600 + -160x + -920x + 92x2 + (170x2 + -17x3) + x3(-10 + x)) = 72x2 (1600 + -160x + -920x + 92x2 + 170x2 + -17x3 + (-10 * x3 + x * x3)) = 72x2 (1600 + -160x + -920x + 92x2 + 170x2 + -17x3 + (-10x3 + x4)) = 72x2 Combine like terms: -160x + -920x = -1080x (1600 + -1080x + 92x2 + 170x2 + -17x3 + -10x3 + x4) = 72x2 Combine like terms: 92x2 + 170x2 = 262x2 (1600 + -1080x + 262x2 + -17x3 + -10x3 + x4) = 72x2 Combine like terms: -17x3 + -10x3 = -27x3 (1600 + -1080x + 262x2 + -27x3 + x4) = 72x2 Solving 1600 + -1080x + 262x2 + -27x3 + x4 = 72x2 Solving for variable 'x'. Reorder the terms: 1600 + -1080x + 262x2 + -72x2 + -27x3 + x4 = 72x2 + -72x2 Combine like terms: 262x2 + -72x2 = 190x2 1600 + -1080x + 190x2 + -27x3 + x4 = 72x2 + -72x2 Combine like terms: 72x2 + -72x2 = 0 1600 + -1080x + 190x2 + -27x3 + x4 = 0 The solution to this equation could not be determined.
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