Solve for x
x=-3
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\left(x+1\right)\left(-5\right)=\left(x-2\right)\left(-2\right)
Variable x cannot be equal to any of the values -1,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+1\right), the least common multiple of x-2,x+1.
-5x-5=\left(x-2\right)\left(-2\right)
Use the distributive property to multiply x+1 by -5.
-5x-5=-2x+4
Use the distributive property to multiply x-2 by -2.
-5x-5+2x=4
Add 2x to both sides.
-3x-5=4
Combine -5x and 2x to get -3x.
-3x=4+5
Add 5 to both sides.
-3x=9
Add 4 and 5 to get 9.
x=\frac{9}{-3}
Divide both sides by -3.
x=-3
Divide 9 by -3 to get -3.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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