Precalculus Examples

$- (x - 250^{2}) = - 62500$

Step 1

Simplify $- (x - 250^{2})$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise $250$ to the power of $2$ .

$- (x - 1 \cdot 62500) = - 62500$

Step 1.1.2

Multiply $- 1$ by $62500$ .

$- (x - 62500) = - 62500$

Step 1.2

Simplify by multiplying through.

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Step 1.2.1

Apply the distributive property.

$- x - - 62500 = - 62500$

Step 1.2.2

Multiply $- 1$ by $- 62500$ .

$- x + 62500 = - 62500$

Step 2

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

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Step 2.1

Subtract $62500$ from both sides of the equation.

$- x = - 62500 - 62500$

Step 2.2

Subtract $62500$ from $- 62500$ .

$- x = - 125000$

Step 3

Divide each term in $- x = - 125000$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = - 125000$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 125000}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 125000}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{- 125000}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 125000$ by $- 1$ .

$x = 125000$