Solve 292x 8=x^27

Evaluate

292 x \times 8 = x^{2} \times 7

Multiply the terms

2336 x = x^{2} \times 7

Use the commutative property to reorder the terms

2336 x = 7 x^{2}

Swap the sides

7 x^{2} = 2336 x

Move the expression to the left side

7 x^{2} - 2336 x = 0

Factor the expression

More Steps

x (7 x - 2336) = 0

When the product of factors equals 0,at least one factor is 0

7 x - 2336 = 0 x = 0

Solve the equation for x

More Steps

x = \frac{2336}{7} x = 0

Solution

x_{1} = 0, x_{2} = \frac{2336}{7}

Alternative Form

x_{1} = 0, x_{2} = 333. \dot{7} 1428 \dot{5}

Solve the quadratic equation