Question

Solve 5x2 = -30x - 65

Answer 1

Solution Steps

1. Multiply Terms
5x2=-30x−65

2. Move Variables to Left
5x2+30x=-65

3. Apply Quadratic Formula
x=−30±302−4*5*65√2*5

Forked Equation 1
x=−30+302−4*5*65√2*5

Forked Equation 2
x=−30−302−4*5*65√2*5

Now Solving Equation 1

x=−30+302−4*5*65√2*5

4. Negate
x=-30+302−4*5*65√2*5

5. Simplify Exponents
x=-30+900−4*5*65√2*5

6. Multiply Terms
x=-30+900−1300√10

7. Subtract Constants
x=-30+-400√10

The equation has an imaginary solution!

End of Equation 1

Now Solving Equation 2

x=−30−302−4*5*65√2*5

8. Negate
x=-30−302−4*5*65√2*5

9. Simplify Exponents
x=-30−900−4*5*65√2*5

10. Multiply Terms
x=-30−900−1300√10

11. Subtract Constants
x=-30−-400√10

The equation has an imaginary solution!

Answer 2

all the answers have an i on the end of them?

Answer 3

lol idk

Answer 4

x = -3 ± 2i
x = -3 ± 4i
x = -6 ± 2i
x = -6 ± 4i

Answer 5

@Muzzack