Solve (-x^2-3x+3)-(-x^2-9x+6)

Question

Simplify the expression

Solution

6 x - 3

Evaluate

(- x^{2} - 3 x + 3) - (- x^{2} - 9 x + 6)

Remove the parentheses

- x^{2} - 3 x + 3 - (- x^{2} - 9 x + 6)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- x^{2} - 3 x + 3 + x^{2} + 9 x - 6

The sum of two opposites equals 0

More Steps

Evaluate

- x^{2} + x^{2}

Collect like terms

(- 1 + 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 - 3 x + 3 + 9 x - 6

Remove 0

- 3 x + 3 + 9 x - 6

Add the terms

More Steps

Evaluate

- 3 x + 9 x

Collect like terms by calculating the sum or difference of their coefficients

(- 3 + 9) x

Add the numbers

6 x

6 x + 3 - 6

Solution

6 x - 3

Show Solution

Factor the expression

Factor

3 (2 x - 1)

Evaluate

(- x^{2} - 3 x + 3) - (- x^{2} - 9 x + 6)

Remove the parentheses

- x^{2} - 3 x + 3 - (- x^{2} - 9 x + 6)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- x^{2} - 3 x + 3 + x^{2} + 9 x - 6

The sum of two opposites equals 0

More Steps

Evaluate

- x^{2} + x^{2}

Collect like terms

(- 1 + 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 - 3 x + 3 + 9 x - 6

Remove 0

- 3 x + 3 + 9 x - 6

Add the terms

More Steps

Evaluate

- 3 x + 9 x

Collect like terms by calculating the sum or difference of their coefficients

(- 3 + 9) x

Add the numbers

6 x

6 x + 3 - 6

Subtract the numbers

6 x - 3

Solution

3 (2 x - 1)

Show Solution

Find the roots

Find the roots of the algebra expression

x = \frac{1}{2}

Alternative Form

x = 0.5

Evaluate

(- x^{2} - 3 x + 3) - (- x^{2} - 9 x + 6)

To find the roots of the expression,set the expression equal to 0

(- x^{2} - 3 x + 3) - (- x^{2} - 9 x + 6) = 0

Remove the parentheses

- x^{2} - 3 x + 3 - (- x^{2} - 9 x + 6) = 0

Subtract the terms

More Steps

Simplify

- x^{2} - 3 x + 3 - (- x^{2} - 9 x + 6)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- x^{2} - 3 x + 3 + x^{2} + 9 x - 6

The sum of two opposites equals 0

More Steps

Evaluate

- x^{2} + x^{2}

Collect like terms

(- 1 + 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 - 3 x + 3 + 9 x - 6

Remove 0

- 3 x + 3 + 9 x - 6

Add the terms

More Steps

Evaluate

- 3 x + 9 x

Collect like terms by calculating the sum or difference of their coefficients

(- 3 + 9) x

Add the numbers

6 x

6 x + 3 - 6

Subtract the numbers

6 x - 3

6 x - 3 = 0

Move the constant to the right-hand side and change its sign

6 x = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

6 x = 3

Divide both sides

\frac{6 x}{6} = \frac{3}{6}

Divide the numbers

x = \frac{3}{6}

Solution

x = \frac{1}{2}

Alternative Form

x = 0.5

Show Solution

( X^2 3x+3) ( X^2 9x+6)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression