Solve for x 4^2=8^2+10^2-2810*x

$4^{2} = 8^{2} + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x$

Rewrite the equation as $8^{2} + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x = 4^{2}$ .

$8^{2} + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x = 4^{2}$

Simplify $8^{2} + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x$ .

Simplify each term.

Raise $8$ to the power of $2$ .

$64 + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x = 4^{2}$

Raise $10$ to the power of $2$ .

$64 + 100 - 2 \cdot 8 \cdot 10 \cdot x = 4^{2}$

Multiply $- 2$ by $8$ .

$64 + 100 - 16 \cdot 10 \cdot x = 4^{2}$

Multiply $- 16$ by $10$ .

$64 + 100 - 160 x = 4^{2}$

Add $64$ and $100$ .

$164 - 160 x = 4^{2}$

Raise $4$ to the power of $2$ .

$164 - 160 x = 16$

Move all terms not containing $x$ to the right side of the equation.

Subtract $164$ from both sides of the equation.

$- 160 x = 16 - 164$

Subtract $164$ from $16$ .

$- 160 x = - 148$

Divide each term in $- 160 x = - 148$ by $- 160$ and simplify.

Divide each term in $- 160 x = - 148$ by $- 160$ .

$\frac{- 160 x}{- 160} = \frac{- 148}{- 160}$

Simplify the left side.

Cancel the common factor of $- 160$ .

Cancel the common factor.

$\frac{- 160 x}{- 160} = \frac{- 148}{- 160}$

Divide $x$ by $1$ .

$x = \frac{- 148}{- 160}$

Simplify the right side.

Cancel the common factor of $- 148$ and $- 160$ .

Factor $- 4$ out of $- 148$ .

$x = \frac{- 4 (37)}{- 160}$

Cancel the common factors.

Factor $- 4$ out of $- 160$ .

$x = \frac{- 4 \cdot 37}{- 4 \cdot 40}$

Cancel the common factor.

$x = \frac{- 4 \cdot 37}{- 4 \cdot 40}$

Rewrite the expression.

$x = \frac{37}{40}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{37}{40}$

Decimal Form:

$x = 0.925$

Solve for x 4^2=8^2+10^2-2*8*10*x

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Solve for x 4^2=8^2+10^2-2810*x