Solve (8x^2+3x-4)+(-2x^2+8x)

Question

Simplify the expression

Solution

6 x^{2} + 11 x - 4

Evaluate

(8 x^{2} + 3 x - 4) + (- 2 x^{2} + 8 x)

Remove the parentheses

8 x^{2} + 3 x - 4 + (- 2 x^{2} + 8 x)

Remove the parentheses

8 x^{2} + 3 x - 4 - 2 x^{2} + 8 x

Subtract the terms

More Steps

Evaluate

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

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

(8 - 2) x^{2}

Subtract the numbers

6 x^{2}

6 x^{2} + 3 x - 4 + 8 x

Solution

More Steps

Evaluate

3 x + 8 x

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

(3 + 8) x

Add the numbers

11 x

6 x^{2} + 11 x - 4

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = - \frac{11 + 217}{12}, x_{2} = \frac{- 11 + 217}{12}

Alternative Form

x_{1} \approx - 2.144243, x_{2} \approx 0.31091

Evaluate

(8 x^{2} + 3 x - 4) + (- 2 x^{2} + 8 x)

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

(8 x^{2} + 3 x - 4) + (- 2 x^{2} + 8 x) = 0

Remove the parentheses

8 x^{2} + 3 x - 4 + (- 2 x^{2} + 8 x) = 0

Remove the parentheses

8 x^{2} + 3 x - 4 - 2 x^{2} + 8 x = 0

Calculate the sum or difference

More Steps

Evaluate

8 x^{2} + 3 x - 4 - 2 x^{2} + 8 x

Subtract the terms

More Steps

Evaluate

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

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

(8 - 2) x^{2}

Subtract the numbers

6 x^{2}

6 x^{2} + 3 x - 4 + 8 x

Add the terms

More Steps

Evaluate

3 x + 8 x

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

(3 + 8) x

Add the numbers

11 x

6 x^{2} + 11 x - 4

6 x^{2} + 11 x - 4 = 0

Substitute a= 6,b= 11 and c= - 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 11 \pm 1 1 ^{2} - 4 \times 6 ( - 4 )}{2 \times 6}

Simplify the expression

x = \frac{- 11 \pm 1 1 ^{2} - 4 \times 6 ( - 4 )}{12}

Simplify the expression

More Steps

Evaluate

1 1^{2} - 4 \times 6 (- 4)

Multiply

More Steps

Multiply the terms

4 \times 6 (- 4)

Rewrite the expression

- 4 \times 6 \times 4

Multiply the terms

- 96

1 1^{2} - (- 96)

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

1 1^{2} + 96

Evaluate the power

121 + 96

Add the numbers

217

x = \frac{- 11 \pm 217}{12}

Separate the equation into 2 possible cases

x = \frac{- 11 + 217}{12} x = \frac{- 11 - 217}{12}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 11 + 217}{12} x = - \frac{11 + 217}{12}

Solution

x_{1} = - \frac{11 + 217}{12}, x_{2} = \frac{- 11 + 217}{12}

Alternative Form

x_{1} \approx - 2.144243, x_{2} \approx 0.31091

Show Solution

(8x^2+3x 4)+( 2x^2+8x)

Simplify the expression

Find the roots