2x^2-12*x+9=0

Simple and best practice solution for 2x^2-12*x+9=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 2x^2-12*x+9=0 equation:


Simplifying
2x2 + -12x + 9 = 0

Reorder the terms:
9 + -12x + 2x2 = 0

Solving
9 + -12x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
4.5 + -6x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -6x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -6x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -6x + x2 = 0 + -4.5
-6x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-6x + x2 = -4.5

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -4.5 + 9

Reorder the terms:
9 + -6x + x2 = -4.5 + 9

Combine like terms: -4.5 + 9 = 4.5
9 + -6x + x2 = 4.5

Factor a perfect square on the left side:
(x + -3)(x + -3) = 4.5

Calculate the square root of the right side: 2.121320344

Break this problem into two subproblems by setting 
(x + -3) equal to 2.121320344 and -2.121320344.

Subproblem 1

x + -3 = 2.121320344 Simplifying x + -3 = 2.121320344 Reorder the terms: -3 + x = 2.121320344 Solving -3 + x = 2.121320344 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 2.121320344 + 3 Combine like terms: -3 + 3 = 0 0 + x = 2.121320344 + 3 x = 2.121320344 + 3 Combine like terms: 2.121320344 + 3 = 5.121320344 x = 5.121320344 Simplifying x = 5.121320344

Subproblem 2

x + -3 = -2.121320344 Simplifying x + -3 = -2.121320344 Reorder the terms: -3 + x = -2.121320344 Solving -3 + x = -2.121320344 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -2.121320344 + 3 Combine like terms: -3 + 3 = 0 0 + x = -2.121320344 + 3 x = -2.121320344 + 3 Combine like terms: -2.121320344 + 3 = 0.878679656 x = 0.878679656 Simplifying x = 0.878679656

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.121320344, 0.878679656}

See similar equations:

| 4x+8=2(x+1) | | 5(a-5)=60 | | -4x-10=26+2x | | 154=6x-4(-1-6x) | | -3p-2p-7=1-4p-1 | | 12=c-4c | | -9.7=-4.7+y | | 3x^2-5x^2+2x=0 | | 7.6=x-4.8 | | 5-5x=4x-67 | | 93-3x=24x+18 | | 5x+7=87 | | 2x^2-2x-12=-8 | | 10-4(a+8)= | | 9x-6=30x+8 | | p-1=15+3p | | 6+x=-6x+41 | | 7x^2+43x=-168 | | 3r-8r=-5 | | 2r-4-4r=-2 | | a^2-ax+4bx-4b^2=0 | | -9+2x=-37 | | 3x--7/2=8 | | 6x+8=39-3x | | x+32+x+24=180 | | 5x^2+6x+7=0 | | -25=x+16 | | 6a-3=3(a-5) | | x^2+5x-5=-5 | | 4n-2=3n-2 | | x^2+7x+6=6 | | -0.3+9.89=-0.1x+7.69 |

Equations solver categories