9x^2+7x-68=0

Simple and best practice solution for 9x^2+7x-68=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+7x-68=0 equation:


Simplifying
9x2 + 7x + -68 = 0

Reorder the terms:
-68 + 7x + 9x2 = 0

Solving
-68 + 7x + 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'.
-7.555555556 + 0.7777777778x + x2 = 0

Move the constant term to the right:

Add '7.555555556' to each side of the equation.
-7.555555556 + 0.7777777778x + 7.555555556 + x2 = 0 + 7.555555556

Reorder the terms:
-7.555555556 + 7.555555556 + 0.7777777778x + x2 = 0 + 7.555555556

Combine like terms: -7.555555556 + 7.555555556 = 0.000000000
0.000000000 + 0.7777777778x + x2 = 0 + 7.555555556
0.7777777778x + x2 = 0 + 7.555555556

Combine like terms: 0 + 7.555555556 = 7.555555556
0.7777777778x + x2 = 7.555555556

The x term is 0.7777777778x.  Take half its coefficient (0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
0.7777777778x + 0.1512345679 + x2 = 7.555555556 + 0.1512345679

Reorder the terms:
0.1512345679 + 0.7777777778x + x2 = 7.555555556 + 0.1512345679

Combine like terms: 7.555555556 + 0.1512345679 = 7.7067901239
0.1512345679 + 0.7777777778x + x2 = 7.7067901239

Factor a perfect square on the left side:
(x + 0.3888888889)(x + 0.3888888889) = 7.7067901239

Calculate the square root of the right side: 2.776110611

Break this problem into two subproblems by setting 
(x + 0.3888888889) equal to 2.776110611 and -2.776110611.

Subproblem 1

x + 0.3888888889 = 2.776110611 Simplifying x + 0.3888888889 = 2.776110611 Reorder the terms: 0.3888888889 + x = 2.776110611 Solving 0.3888888889 + x = 2.776110611 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3888888889' to each side of the equation. 0.3888888889 + -0.3888888889 + x = 2.776110611 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + x = 2.776110611 + -0.3888888889 x = 2.776110611 + -0.3888888889 Combine like terms: 2.776110611 + -0.3888888889 = 2.3872217221 x = 2.3872217221 Simplifying x = 2.3872217221

Subproblem 2

x + 0.3888888889 = -2.776110611 Simplifying x + 0.3888888889 = -2.776110611 Reorder the terms: 0.3888888889 + x = -2.776110611 Solving 0.3888888889 + x = -2.776110611 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3888888889' to each side of the equation. 0.3888888889 + -0.3888888889 + x = -2.776110611 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + x = -2.776110611 + -0.3888888889 x = -2.776110611 + -0.3888888889 Combine like terms: -2.776110611 + -0.3888888889 = -3.1649994999 x = -3.1649994999 Simplifying x = -3.1649994999

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.3872217221, -3.1649994999}

See similar equations:

| 4d+9=9+4d | | 15=33y | | 2x+43-4x=2-6x+5 | | 4x+9=2x+33 | | x^2-y^2+2y-1=0 | | 5[u+1]=50+4u | | (9x+10)2=200 | | 9x-y=70 | | 4(2y+1)=2(12a-y)y | | m=8/3,b=2/3 | | f(8)=4ln((2x)-8) | | (x+7)4=8 | | 10x-50=180 | | y=-10x+109 | | 5(x+3)=2(x+6)x | | -16x+5=53 | | -5(3x-2)=-32 | | 6r-1=11+8r | | 16/81x^4-625 | | Z-14=25 | | x^3=-97 | | 2/5x-5= | | 3b+8=41 | | 3-3x^2=f(x) | | 14-3x+x=x | | 29=3/4x=-25 | | 2x+6=9x-50 | | 3[x-2(x-5)]-1=-3(2x-5) | | 2-(0.5)n=3n+16 | | N-7.25=4 | | 26.02+.18x=30.52 | | x^2+0.6x-0.16=0 |

Equations solver categories