9x^2-12x-4=

Simple and best practice solution for 9x^2-12x-4= 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^2-12x-4= equation:


Simplifying
9x2 + -12x + -4 = 0

Reorder the terms:
-4 + -12x + 9x2 = 0

Solving
-4 + -12x + 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'.
-0.4444444444 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '0.4444444444' to each side of the equation.
-0.4444444444 + -1.333333333x + 0.4444444444 + x2 = 0 + 0.4444444444

Reorder the terms:
-0.4444444444 + 0.4444444444 + -1.333333333x + x2 = 0 + 0.4444444444

Combine like terms: -0.4444444444 + 0.4444444444 = 0.0000000000
0.0000000000 + -1.333333333x + x2 = 0 + 0.4444444444
-1.333333333x + x2 = 0 + 0.4444444444

Combine like terms: 0 + 0.4444444444 = 0.4444444444
-1.333333333x + x2 = 0.4444444444

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = 0.4444444444 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = 0.4444444444 + 0.4444444442

Combine like terms: 0.4444444444 + 0.4444444442 = 0.8888888886
0.4444444442 + -1.333333333x + x2 = 0.8888888886

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = 0.8888888886

Calculate the square root of the right side: 0.942809041

Break this problem into two subproblems by setting 
(x + -0.6666666665) equal to 0.942809041 and -0.942809041.

Subproblem 1

x + -0.6666666665 = 0.942809041 Simplifying x + -0.6666666665 = 0.942809041 Reorder the terms: -0.6666666665 + x = 0.942809041 Solving -0.6666666665 + x = 0.942809041 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = 0.942809041 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = 0.942809041 + 0.6666666665 x = 0.942809041 + 0.6666666665 Combine like terms: 0.942809041 + 0.6666666665 = 1.6094757075 x = 1.6094757075 Simplifying x = 1.6094757075

Subproblem 2

x + -0.6666666665 = -0.942809041 Simplifying x + -0.6666666665 = -0.942809041 Reorder the terms: -0.6666666665 + x = -0.942809041 Solving -0.6666666665 + x = -0.942809041 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = -0.942809041 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = -0.942809041 + 0.6666666665 x = -0.942809041 + 0.6666666665 Combine like terms: -0.942809041 + 0.6666666665 = -0.2761423745 x = -0.2761423745 Simplifying x = -0.2761423745

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.6094757075, -0.2761423745}

See similar equations:

| t^2+20t+100= | | 6y=30+15x | | 9x+25=5x+125 | | 67-7x=11x+23 | | 9-9x=125-37x | | -48-9x=7x+16 | | 6x+8=-76-8x | | 117-5x=3x+5 | | 8+5x=20+x | | 5x+28=13x-60 | | 7x-5=10x-11 | | 2x^2+9x+20.25=38.25 | | -3x+5+6(x+1)=2x+3 | | 2(x-4)=10+5x | | 6x-(x+8)=-53 | | 2(3x+4)+6(x-8)=32 | | .3x+.7y=5.3 | | .3x+.7*4=5.3 | | -3x+2xy+4y-xy+2x-11y= | | (328.62)-(98.6)= | | (-.75)(-.4)= | | (6)-(2)= | | 5x=3x-8 | | (10)+(-45)= | | 2x(y-z)+x(y+z)= | | 36x-8n= | | 4x^2-10x-5=0 | | x^8+5x^4-36=0 | | 30x^2-60=0 | | 8x(x-2)-20=5x(x-4) | | -7y+39=-4(y-3) | | x^2+32+256=0 |

Equations solver categories