Solve for B -35x^6=(-5x^2)(B)

$- 35 x^{6} = (- 5 x^{2}) (B)$

Step 1

Rewrite the equation as $- 5 x^{2} B = - 35 x^{6}$ .

$- 5 x^{2} B = - 35 x^{6}$

Step 2

Divide each term in $- 5 x^{2} B = - 35 x^{6}$ by $- 5 x^{2}$ and simplify.

Divide each term in $- 5 x^{2} B = - 35 x^{6}$ by $- 5 x^{2}$ .

$\frac{- 5 x^{2} B}{- 5 x^{2}} = \frac{- 35 x^{6}}{- 5 x^{2}}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x^{2} B}{- 5 x^{2}} = \frac{- 35 x^{6}}{- 5 x^{2}}$

Rewrite the expression.

$\frac{x^{2} B}{x^{2}} = \frac{- 35 x^{6}}{- 5 x^{2}}$

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{x^{2} B}{x^{2}} = \frac{- 35 x^{6}}{- 5 x^{2}}$

Divide $B$ by $1$ .

$B = \frac{- 35 x^{6}}{- 5 x^{2}}$

Simplify the right side.

Cancel the common factor of $- 35$ and $- 5$ .

Factor $- 5$ out of $- 35 x^{6}$ .

$B = \frac{- 5 (7 x^{6})}{- 5 x^{2}}$

Cancel the common factors.

Factor $- 5$ out of $- 5 x^{2}$ .

$B = \frac{- 5 (7 x^{6})}{- 5 (x^{2})}$

Cancel the common factor.

$B = \frac{- 5 (7 x^{6})}{- 5 x^{2}}$

Rewrite the expression.

$B = \frac{7 x^{6}}{x^{2}}$

Cancel the common factor of $x^{6}$ and $x^{2}$ .

Factor $x^{2}$ out of $7 x^{6}$ .

$B = \frac{x^{2} (7 x^{4})}{x^{2}}$

Cancel the common factors.

Multiply by $1$ .

$B = \frac{x^{2} (7 x^{4})}{x^{2} \cdot 1}$

Cancel the common factor.

$B = \frac{x^{2} (7 x^{4})}{x^{2} \cdot 1}$

Rewrite the expression.

$B = \frac{7 x^{4}}{1}$

Divide $7 x^{4}$ by $1$ .

$B = 7 x^{4}$