Explained: "x2+2x−1=x2−x+2"

High School
Algebra
Algebra I
Quadratic function and equation

Ernstfalld

Answered question

2021-01-02

x^{2} + 2 x - 1 = x^{2} - x + 2

Answer & Explanation

Delorenzoz

Skilled2021-01-03Added 91 answers

SInce

x^{2} + 2 x - 1 = x^{2} - x + 2

has an

x^{2}

on both terms, simplify the equation by subtracting

x^{2}

on both sides:

x^{2} + 2 x - 1 = x^{2} - x + 2

x^{2} + 2 x - 1 - x^{2} = x^{2} - x + 2 - x^{2}

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:

\frac{3 x}{x} = \frac{3}{3}

x=1
The solution of the equation is then x=1.

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