SOLUTION: 5(1-x)+3(2x+1)/4-3x=-1/2

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Question 334076: 5(1-x)+3(2x+1)/4-3x=-1/2



Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
+5%281-x%29%2B3%28%282x%2B1%29%2F%284-3x%29%29=-1%2F2%29%29
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LCM = (4-3x)
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%285%281-x%29%284-3x%29%2B3%282x%2B1%29%29%2F%284-3x%29+=+-1%2F2
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%285%284-7x%2B3x%5E2%29%2B6x%2B3+%29+%2F%284-3x%29=+-1%2F2
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%2820-35x%2B15x%5E2%2B6x%2B3%29+%2F%284-3x%29=-1%2F2
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15x%5E2-29x%2B23+=%284-3x%29%2A-1+%2F2
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30x%5E2-58x%2B46=-4%2B3x
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30x%5E2-61x%2B50=0
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solve for roots using quadratic formula
a= 30,b=-61c=50
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x1= (61+sqrt((-61)^2-4*30*50))/(2*30)
x1=(61+sqrt(-2279))/60
x1= 1.066667 +0.795647884i
x2=x1= 1.066667 -0.795647884i