9x^2+157x+598=0

Simple and best practice solution for 9x^2+157x+598=0 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 9x^2+157x+598=0 equation: 


Simplifying
9x2 + 157x + 598 = 0

Reorder the terms:
598 + 157x + 9x2 = 0

Solving
598 + 157x + 9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
66.44444444 + 17.44444444x + x2 = 0

Move the constant term to the right:

Add '-66.44444444' to each side of the equation.
66.44444444 + 17.44444444x + -66.44444444 + x2 = 0 + -66.44444444

Reorder the terms:
66.44444444 + -66.44444444 + 17.44444444x + x2 = 0 + -66.44444444

Combine like terms: 66.44444444 + -66.44444444 = 0.00000000
0.00000000 + 17.44444444x + x2 = 0 + -66.44444444
17.44444444x + x2 = 0 + -66.44444444

Combine like terms: 0 + -66.44444444 = -66.44444444
17.44444444x + x2 = -66.44444444

The x term is 17.44444444x.  Take half its coefficient (8.72222222).
Square it (76.07716046) and add it to both sides.

Add '76.07716046' to each side of the equation.
17.44444444x + 76.07716046 + x2 = -66.44444444 + 76.07716046

Reorder the terms:
76.07716046 + 17.44444444x + x2 = -66.44444444 + 76.07716046

Combine like terms: -66.44444444 + 76.07716046 = 9.63271602
76.07716046 + 17.44444444x + x2 = 9.63271602

Factor a perfect square on the left side:
(x + 8.72222222)(x + 8.72222222) = 9.63271602

Calculate the square root of the right side: 3.103661712

Break this problem into two subproblems by setting 
(x + 8.72222222) equal to 3.103661712 and -3.103661712.


Subproblem 1
x + 8.72222222 = 3.103661712

Simplifying
x + 8.72222222 = 3.103661712

Reorder the terms:
8.72222222 + x = 3.103661712

Solving
8.72222222 + x = 3.103661712

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8.72222222' to each side of the equation.
8.72222222 + -8.72222222 + x = 3.103661712 + -8.72222222

Combine like terms: 8.72222222 + -8.72222222 = 0.00000000
0.00000000 + x = 3.103661712 + -8.72222222
x = 3.103661712 + -8.72222222

Combine like terms: 3.103661712 + -8.72222222 = -5.618560508
x = -5.618560508

Simplifying
x = -5.618560508


Subproblem 2
x + 8.72222222 = -3.103661712

Simplifying
x + 8.72222222 = -3.103661712

Reorder the terms:
8.72222222 + x = -3.103661712

Solving
8.72222222 + x = -3.103661712

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8.72222222' to each side of the equation.
8.72222222 + -8.72222222 + x = -3.103661712 + -8.72222222

Combine like terms: 8.72222222 + -8.72222222 = 0.00000000
0.00000000 + x = -3.103661712 + -8.72222222
x = -3.103661712 + -8.72222222

Combine like terms: -3.103661712 + -8.72222222 = -11.825883932
x = -11.825883932

Simplifying
x = -11.825883932


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-5.618560508, -11.825883932}

See similar equations:

| 3x+3=8x-7 | | ln(x)+2x=0 | | 4x^2-51x+182=0 | | 8x-(7x+7)=2x-34 | | x+(x*2)=4 | | 3(4+2x)=5(x-1) | | 8x(7x+7)=2x-34 | | 0=2x^2-5x-210 | | 34-7=27 | | 8x^2-15x+9=y | | 8x^2-15x+9= | | 4(57)y=y(6-3) | | 48t=28+140 | | 48t=28+130 | | 9y+3=13y+7 | | (2b-2)=8b | | -2(2t+2)=-20 | | D+6=3h | | 6-x/4= | | ?4=x | | 2x(7x-5)=-2x(4x+1) | | 6-x/4=x | | 6(4w+6)=1 | | -3(2t+2)=-30 | | 331+0.6x=340 | | 4(f-30)=-4 | | 17x=7/5 | | 10(s-8)=-188 | | 5+x-9=17 | | 3x-5y-30=0 | | 5(t+5)=15 | | f(-5)+f(3)=y |

Equations solver categories