Find Three Ordered Pair Solutions y=3x^2-5x-5

$y = 3 x^{2} - 5 x - 5$

Step 1

Choose any value for $x$ that is in the domain to plug into the equation.

Step 2

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = 3 \cdot 0^{2} - 5 \cdot 0 - 5$

Remove parentheses.

$y = 3 {(0)}^{2} - 5 \cdot 0 - 5$

Simplify $3 {(0)}^{2} - 5 \cdot 0 - 5$ .

Simplify each term.

Raising $0$ to any positive power yields $0$ .

$y = 3 \cdot 0 - 5 \cdot 0 - 5$

Multiply $3$ by $0$ .

$y = 0 - 5 \cdot 0 - 5$

Multiply $- 5$ by $0$ .

$y = 0 + 0 - 5$

Simplify by adding and subtracting.

Add $0$ and $0$ .

$y = 0 - 5$

Subtract $5$ from $0$ .

$y = - 5$

Use the $x$ and $y$ values to form the ordered pair.

$(0, - 5)$

Step 3

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = 3 \cdot 1^{2} - 5 \cdot 1 - 5$

Remove parentheses.

$y = 3 {(1)}^{2} - 5 \cdot 1 - 5$

Simplify $3 {(1)}^{2} - 5 \cdot 1 - 5$ .

Simplify each term.

One to any power is one.

$y = 3 \cdot 1 - 5 \cdot 1 - 5$

Multiply $3$ by $1$ .

$y = 3 - 5 \cdot 1 - 5$

Multiply $- 5$ by $1$ .

$y = 3 - 5 - 5$

Simplify by subtracting numbers.

Subtract $5$ from $3$ .

$y = - 2 - 5$

Subtract $5$ from $- 2$ .

$y = - 7$

Use the $x$ and $y$ values to form the ordered pair.

$(1, - 7)$

Step 4

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = 3 \cdot 2^{2} - 5 \cdot 2 - 5$

Remove parentheses.

$y = 3 {(2)}^{2} - 5 \cdot 2 - 5$

Simplify $3 {(2)}^{2} - 5 \cdot 2 - 5$ .

Simplify each term.

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

$y = 3 \cdot 4 - 5 \cdot 2 - 5$

Multiply $3$ by $4$ .

$y = 12 - 5 \cdot 2 - 5$

Multiply $- 5$ by $2$ .

$y = 12 - 10 - 5$

Simplify by subtracting numbers.

Subtract $10$ from $12$ .

$y = 2 - 5$

Subtract $5$ from $2$ .

$y = - 3$

Use the $x$ and $y$ values to form the ordered pair.

$(2, - 3)$

Step 5

These are three possible solutions to the equation.

$(0, - 5), (1, - 7), (2, - 3)$

Step 6

Find Three Ordered Pair Solutions y=3x^2-5x-5

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