Solve x^2+9x-8x^2-x

Question

Simplify the expression

- 7 x^{2} + 8 x

Evaluate

x^{2} + 9 x - 8 x^{2} - x

Subtract the terms

More Steps

Evaluate

x^{2} - 8 x^{2}

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

(1 - 8) x^{2}

Subtract the numbers

- 7 x^{2}

- 7 x^{2} + 9 x - x

Solution

More Steps

Evaluate

9 x - x

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

(9 - 1) x

Subtract the numbers

8 x

- 7 x^{2} + 8 x

Show Solution

Factor the expression

- x (7 x - 8)

Evaluate

x^{2} + 9 x - 8 x^{2} - x

Subtract the terms

More Steps

Simplify

x^{2} + 9 x - 8 x^{2}

Subtract the terms

More Steps

Evaluate

x^{2} - 8 x^{2}

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

(1 - 8) x^{2}

Subtract the numbers

- 7 x^{2}

- 7 x^{2} + 9 x

- 7 x^{2} + 9 x - x

Subtract the terms

More Steps

Evaluate

9 x - x

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

(9 - 1) x

Subtract the numbers

8 x

- 7 x^{2} + 8 x

Rewrite the expression

- x \times 7 x + x \times 8

Solution

- x (7 x - 8)

Show Solution

Find the roots

x_{1} = 0, x_{2} = \frac{8}{7}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{1} 4285 \dot{7}

Evaluate

x^{2} + 9 x - 8 x^{2} - x

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

x^{2} + 9 x - 8 x^{2} - x = 0

Subtract the terms

More Steps

Simplify

x^{2} + 9 x - 8 x^{2}

Subtract the terms

More Steps

Evaluate

x^{2} - 8 x^{2}

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

(1 - 8) x^{2}

Subtract the numbers

- 7 x^{2}

- 7 x^{2} + 9 x

- 7 x^{2} + 9 x - x = 0

Subtract the terms

More Steps

Simplify

- 7 x^{2} + 9 x - x

Subtract the terms

More Steps

Evaluate

9 x - x

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

(9 - 1) x

Subtract the numbers

8 x

- 7 x^{2} + 8 x

- 7 x^{2} + 8 x = 0

Factor the expression

More Steps

Evaluate

- 7 x^{2} + 8 x

Rewrite the expression

- x \times 7 x + x \times 8

Factor out - x from the expression

- x (7 x - 8)

- x (7 x - 8) = 0

When the product of factors equals 0,at least one factor is 0

- x = 0 7 x - 8 = 0

Solve the equation for x

x = 0 7 x - 8 = 0

Solve the equation for x

More Steps

Evaluate

7 x - 8 = 0

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

7 x = 0 + 8

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

7 x = 8

Divide both sides

\frac{7 x}{7} = \frac{8}{7}

Divide the numbers

x = \frac{8}{7}

x = 0 x = \frac{8}{7}

Solution

x_{1} = 0, x_{2} = \frac{8}{7}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{1} 4285 \dot{7}

Show Solution