x^{2}+2x−1=x^{2}−x+2

Ernstfalld 2021-01-02 Answered
x2+2x1=x2x+2
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Expert Answer

Delorenzoz
Answered 2021-01-03 Author has 91 answers
SInce x2+2x1=x2x+2 has an x2 on both terms, simplify the equation by subtracting x2 on both sides:
x2+2x1=x2x+2
x2+2x1x2=x2x+2x2
2x-1=-x+2
Next, we need to move the variable terms to the same side. Since the right side has −x, add xx on both sides to move the variable terms to the left side:
2x-1+x=-x+2+x
3x-1=2
Now we need to move the constants to the right side. Since the left side has subtraction of 1, add 1 on both sides to move the constants to the right side:
3x−1+1=2+1
3x=3
The last step is to isolate the variable. Since xx is being multiplied by 3, divide both sides by 3 to isolate x:
3xx=33
x=1
The solution of the equation is then x=1.
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