Solve 5x^58=x^22 - ScanMath

Evaluate

5 x^{5} \times 8 = x^{2} \times 2

Multiply the terms

40 x^{5} = x^{2} \times 2

Use the commutative property to reorder the terms

40 x^{5} = 2 x^{2}

Add or subtract both sides

40 x^{5} - 2 x^{2} = 0

Factor the expression

2 x^{2} (20 x^{3} - 1) = 0

Divide both sides

x^{2} (20 x^{3} - 1) = 0

Separate the equation into 2 possible cases

x^{2} = 0 20 x^{3} - 1 = 0

The only way a power can be 0 is when the base equals 0

x = 0 20 x^{3} - 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{3 50}{10}

Solution

x_{1} = 0, x_{2} = \frac{3 50}{10}

Alternative Form

x_{1} = 0, x_{2} \approx 0.368403

Solve the equation