Solve for x
x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667
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5\left(2x-1\right)\times \frac{3}{5}+5\times 2=0
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 5\left(2x-1\right), the least common multiple of 5,2x-1.
\left(10x-5\right)\times \frac{3}{5}+5\times 2=0
Use the distributive property to multiply 5 by 2x-1.
6x-3+5\times 2=0
Use the distributive property to multiply 10x-5 by \frac{3}{5}.
6x-3+10=0
Multiply 5 and 2 to get 10.
6x+7=0
Add -3 and 10 to get 7.
6x=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-7}{6}
Divide both sides by 6.
x=-\frac{7}{6}
Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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