9x^2+18x-98=-6

Simple and best practice solution for 9x^2+18x-98=-6 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+18x-98=-6 equation:


Simplifying
9x2 + 18x + -98 = -6

Reorder the terms:
-98 + 18x + 9x2 = -6

Solving
-98 + 18x + 9x2 = -6

Solving for variable 'x'.

Reorder the terms:
-98 + 6 + 18x + 9x2 = -6 + 6

Combine like terms: -98 + 6 = -92
-92 + 18x + 9x2 = -6 + 6

Combine like terms: -6 + 6 = 0
-92 + 18x + 9x2 = 0

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

Divide each side by '9'.
-10.22222222 + 2x + x2 = 0

Move the constant term to the right:

Add '10.22222222' to each side of the equation.
-10.22222222 + 2x + 10.22222222 + x2 = 0 + 10.22222222

Reorder the terms:
-10.22222222 + 10.22222222 + 2x + x2 = 0 + 10.22222222

Combine like terms: -10.22222222 + 10.22222222 = 0.00000000
0.00000000 + 2x + x2 = 0 + 10.22222222
2x + x2 = 0 + 10.22222222

Combine like terms: 0 + 10.22222222 = 10.22222222
2x + x2 = 10.22222222

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 10.22222222 + 1

Reorder the terms:
1 + 2x + x2 = 10.22222222 + 1

Combine like terms: 10.22222222 + 1 = 11.22222222
1 + 2x + x2 = 11.22222222

Factor a perfect square on the left side:
(x + 1)(x + 1) = 11.22222222

Calculate the square root of the right side: 3.34995854

Break this problem into two subproblems by setting 
(x + 1) equal to 3.34995854 and -3.34995854.

Subproblem 1

x + 1 = 3.34995854 Simplifying x + 1 = 3.34995854 Reorder the terms: 1 + x = 3.34995854 Solving 1 + x = 3.34995854 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 3.34995854 + -1 Combine like terms: 1 + -1 = 0 0 + x = 3.34995854 + -1 x = 3.34995854 + -1 Combine like terms: 3.34995854 + -1 = 2.34995854 x = 2.34995854 Simplifying x = 2.34995854

Subproblem 2

x + 1 = -3.34995854 Simplifying x + 1 = -3.34995854 Reorder the terms: 1 + x = -3.34995854 Solving 1 + x = -3.34995854 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -3.34995854 + -1 Combine like terms: 1 + -1 = 0 0 + x = -3.34995854 + -1 x = -3.34995854 + -1 Combine like terms: -3.34995854 + -1 = -4.34995854 x = -4.34995854 Simplifying x = -4.34995854

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.34995854, -4.34995854}

See similar equations:

| -8+7x+9=3x-27 | | -8v+5(v-3)=12 | | x+.2x=2500 | | X^2+y^2-12x-2y+12=0 | | 0.5b+0.6=-17.4-1.3b | | x+9=76 | | 2.1+0.1x=0.6x-2.4 | | (x*x)+4x=7x | | 19-6t=5-4t | | 2/3x-1/3=4/3 | | 27-3x=5x+3 | | X^2+(-32)=25 | | 7/8x-5=23 | | 0.82=4x-0.38 | | 9x+0=8x+1 | | X^2+32+25=Z | | 2x-5=9x-3 | | x=a*b*a*b | | 7x^5/3*x^-2/3 | | 5y^2+18-8=0 | | 9-3v=12 | | Senx=0.22 | | 10x+20x-70=180 | | 4x+10+2x+20+7x-30=180 | | 7.75=c/8 | | 3d-9-7d-4= | | 2x-30+45=x | | [-5-12]= | | 40=3V-17 | | -4x(x+2)+2=2(x+6) | | 4V+8=76 | | z^3-3+i=0 |

Equations solver categories