Solve 7x^220x 138=8x^24

Evaluate

7 x^{2} \times 20 x \times 138 = 8 x^{2} \times 4

Multiply

More Steps

19320 x^{3} = 8 x^{2} \times 4

Multiply the terms

19320 x^{3} = 32 x^{2}

Add or subtract both sides

19320 x^{3} - 32 x^{2} = 0

Factor the expression

8 x^{2} (2415 x - 4) = 0

Divide both sides

x^{2} (2415 x - 4) = 0

Separate the equation into 2 possible cases

x^{2} = 0 2415 x - 4 = 0

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

x = 0 2415 x - 4 = 0

Solve the equation

More Steps

x = 0 x = \frac{4}{2415}

Solution

x_{1} = 0, x_{2} = \frac{4}{2415}

Alternative Form

x_{1} = 0, x_{2} \approx 0.001656

Solve the equation