Solve (2x^4)/8=(2x-1)/7

Evaluate

\frac{2 x ^{4}}{8} = \frac{2 x - 1}{7}

Cancel out the common factor 2

\frac{x ^{4}}{4} = \frac{2 x - 1}{7}

Cross multiply

x^{4} \times 7 = 4 (2 x - 1)

Simplify the equation

7 x^{4} = 4 (2 x - 1)

Expand the expression

More Steps

7 x^{4} = 8 x - 4

Move the expression to the left side

7 x^{4} - (8 x - 4) = 0

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

7 x^{4} - 8 x + 4 = 0

Calculate

x \approx 0.659969 + 0.051372 i x \approx 0.659969 - 0.051372 i x \approx - 0.659969 + 0.931923 i x \approx - 0.659969 - 0.931923 i

Solution

x_{1} \approx - 0.659969 - 0.931923 i, x_{2} \approx - 0.659969 + 0.931923 i, x_{3} \approx 0.659969 - 0.051372 i, x_{4} \approx 0.659969 + 0.051372 i

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph