Solve for x 5x*2-36x+36=0

$5 x \cdot 2 - 36 x + 36 = 0$

Step 1

Simplify $5 x \cdot 2 - 36 x + 36$ .

Multiply $2$ by $5$ .

$10 x - 36 x + 36 = 0$

Subtract $36 x$ from $10 x$ .

$- 26 x + 36 = 0$

$- 26 x + 36 = 0$

Step 2

Subtract $36$ from both sides of the equation.

$- 26 x = - 36$

Step 3

Divide each term in $- 26 x = - 36$ by $- 26$ and simplify.

Divide each term in $- 26 x = - 36$ by $- 26$ .

$\frac{- 26 x}{- 26} = \frac{- 36}{- 26}$

Simplify the left side.

Cancel the common factor of $- 26$ .

Cancel the common factor.

$\frac{- 26 x}{- 26} = \frac{- 36}{- 26}$

Divide $x$ by $1$ .

$x = \frac{- 36}{- 26}$

$x = \frac{- 36}{- 26}$

$x = \frac{- 36}{- 26}$

Simplify the right side.

Cancel the common factor of $- 36$ and $- 26$ .

Factor $- 2$ out of $- 36$ .

$x = \frac{- 2 (18)}{- 26}$

Cancel the common factors.

Factor $- 2$ out of $- 26$ .

$x = \frac{- 2 \cdot 18}{- 2 \cdot 13}$

Cancel the common factor.

$x = \frac{- 2 \cdot 18}{- 2 \cdot 13}$

Rewrite the expression.

$x = \frac{18}{13}$

$x = \frac{18}{13}$

$x = \frac{18}{13}$

$x = \frac{18}{13}$

$x = \frac{18}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{18}{13}$

Decimal Form:

$x = 1.\overline{384615}$

Mixed Number Form:

$x = 1 \frac{5}{13}$

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