2x^2+22x+85=17

Simple and best practice solution for 2x^2+22x+85=17 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^2+22x+85=17 equation: 


Simplifying
2x2 + 22x + 85 = 17

Reorder the terms:
85 + 22x + 2x2 = 17

Solving
85 + 22x + 2x2 = 17

Solving for variable 'x'.

Reorder the terms:
85 + -17 + 22x + 2x2 = 17 + -17

Combine like terms: 85 + -17 = 68
68 + 22x + 2x2 = 17 + -17

Combine like terms: 17 + -17 = 0
68 + 22x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(34 + 11x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(34 + 11x + x2)' equal to zero and attempt to solve:

Simplifying
34 + 11x + x2 = 0

Solving
34 + 11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 11x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + 11x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 11x + x2 = 0 + -34
11x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
11x + x2 = -34

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -34 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -34 + 30.25

Combine like terms: -34 + 30.25 = -3.75
30.25 + 11x + x2 = -3.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| Ln(2x+1)-x+3=0 | | 3(3n+4)=30 | | 15(3x-5)=-14(2x+4) | | 2d+7-d-5=0 | | 3m-3m= | | 40+33=8x | | x(2x-5)=1 | | 73=8x | | 33+40=8x | | 22x-12-14x=4(2x-4)+4 | | 6z-7=5z+14 | | (2v-9)(1+v)=0 | | (4f-3g)*(5f+6g)=0 | | (125x^4y^3/27x^-2y^6)^1/3 | | 25x^2+1-10x=0 | | 2z+4+6z+3= | | Y=(ax)*2 | | 7t-8=5 | | X*2=-5 | | 3(x-7)=2x-16 | | 74t-(42t-60)= | | 4f-3g*5f+6g=0 | | 81-9x=18 | | 52t-(25t-52)= | | 2=10*z/-3 | | x^2-25x+225=0 | | (4f*5f-3g)*4f*(5f+4f*6g)= | | 2x-2=-4x-6 | | 2x^2+x-720=0 | | 16-0-(-14)= | | 4f*(5f+4f*6g)= | | 3x-9y=13 |

Equations solver categories