Solve (2x-1)^2 - (x^2)^2 = -2x

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

(2 x - 1)^{2} - x^{4} + 2 x = 0

Calculate the sum or difference

More Steps

Evaluate

(2 x - 1)^{2} - x^{4} + 2 x

Expand the expression

4 x^{2} - 4 x + 1 - x^{4} + 2 x

Add the terms

More Steps

Evaluate

- 4 x + 2 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 + 2) x

Add the numbers

- 2 x

4 x^{2} - 2 x + 1 - x^{4}

4 x^{2} - 2 x + 1 - x^{4} = 0

Calculate

x \approx - 2.254714 x \approx 1.787178

Solution

x_{1} \approx - 2.254714, x_{2} \approx 1.787178

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