Solve for x
x=-\frac{1}{2}=-0.5
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Linear Equation
5 problems similar to:
\frac { 5 } { x ^ { 2 } - 2 x } = \frac { 1 } { x ^ { 2 } }
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x\times 5=x-2
Variable x cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)x^{2}, the least common multiple of x^{2}-2x,x^{2}.
x\times 5-x=-2
Subtract x from both sides.
4x=-2
Combine x\times 5 and -x to get 4x.
x=\frac{-2}{4}
Divide both sides by 4.
x=-\frac{1}{2}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
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