2x^2-9x-12=0

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


Simplifying
2x2 + -9x + -12 = 0

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

Solving
-12 + -9x + 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'.
-6 + -4.5x + x2 = 0

Move the constant term to the right:

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

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

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

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

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = 6 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = 6 + 5.0625

Combine like terms: 6 + 5.0625 = 11.0625
5.0625 + -4.5x + x2 = 11.0625

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = 11.0625

Calculate the square root of the right side: 3.326033674

Break this problem into two subproblems by setting 
(x + -2.25) equal to 3.326033674 and -3.326033674.

Subproblem 1

x + -2.25 = 3.326033674 Simplifying x + -2.25 = 3.326033674 Reorder the terms: -2.25 + x = 3.326033674 Solving -2.25 + x = 3.326033674 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + x = 3.326033674 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + x = 3.326033674 + 2.25 x = 3.326033674 + 2.25 Combine like terms: 3.326033674 + 2.25 = 5.576033674 x = 5.576033674 Simplifying x = 5.576033674

Subproblem 2

x + -2.25 = -3.326033674 Simplifying x + -2.25 = -3.326033674 Reorder the terms: -2.25 + x = -3.326033674 Solving -2.25 + x = -3.326033674 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + x = -3.326033674 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + x = -3.326033674 + 2.25 x = -3.326033674 + 2.25 Combine like terms: -3.326033674 + 2.25 = -1.076033674 x = -1.076033674 Simplifying x = -1.076033674

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.576033674, -1.076033674}

See similar equations:

| 77-7x=11x+19 | | 6x=24+3x | | B=58b | | 3(m+5)=39 | | S=6-3 | | c-80=36 | | X=38-(-x) | | 3(x+4)-(x+5)=x+4 | | =7+4(x+5) | | f=6q-4 | | -23b=35b | | .23x+.45=8-.32x | | 3x+-7+2x=9 | | 3x-8=5x+3 | | 18x^2-25x=-8 | | 0=-16t^2+60 | | (24)5= | | =7x+4(x+5) | | 4(x-6)+4=6x-8 | | 2r^2+18r+33=0 | | 2x+8=63 | | log(5x+70)=2 | | -55=3x+7x+5 | | =3(x+2)+5x | | 2(x-7)-1=-5(6-x) | | -1+x+x=13 | | 2(x+3)-3x+8=6(x-5)+2 | | 6x+1=-7 | | =3(x+2)+5z | | 0-4(-2)=0 | | (3m+m)*2=102 | | 18x-(12x+7)=5 |

Equations solver categories