2x^2+12+9x-18-3x-4x=0

Simple and best practice solution for 2x^2+12+9x-18-3x-4x=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+9x-18-3x-4x=0 equation: 


Simplifying
2x2 + 12 + 9x + -18 + -3x + -4x = 0

Reorder the terms:
12 + -18 + 9x + -3x + -4x + 2x2 = 0

Combine like terms: 12 + -18 = -6
-6 + 9x + -3x + -4x + 2x2 = 0

Combine like terms: 9x + -3x = 6x
-6 + 6x + -4x + 2x2 = 0

Combine like terms: 6x + -4x = 2x
-6 + 2x + 2x2 = 0

Solving
-6 + 2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + x + x2)' equal to zero and attempt to solve:

Simplifying
-3 + x + x2 = 0

Solving
-3 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x + x2 = 0 + 3
x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
x + x2 = 3

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 3 + 0.25

Reorder the terms:
0.25 + x + x2 = 3 + 0.25

Combine like terms: 3 + 0.25 = 3.25
0.25 + x + x2 = 3.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 3.25

Calculate the square root of the right side: 1.802775638

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1.802775638 and -1.802775638.


Subproblem 1
x + 0.5 = 1.802775638

Simplifying
x + 0.5 = 1.802775638

Reorder the terms:
0.5 + x = 1.802775638

Solving
0.5 + x = 1.802775638

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 1.802775638 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 1.802775638 + -0.5
x = 1.802775638 + -0.5

Combine like terms: 1.802775638 + -0.5 = 1.302775638
x = 1.302775638

Simplifying
x = 1.302775638


Subproblem 2
x + 0.5 = -1.802775638

Simplifying
x + 0.5 = -1.802775638

Reorder the terms:
0.5 + x = -1.802775638

Solving
0.5 + x = -1.802775638

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -1.802775638 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -1.802775638 + -0.5
x = -1.802775638 + -0.5

Combine like terms: -1.802775638 + -0.5 = -2.302775638
x = -2.302775638

Simplifying
x = -2.302775638


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.302775638, -2.302775638}
Solution
x = {1.302775638, -2.302775638}

See similar equations:

| x+x+1+x+2=-3.75 | | 11+3x-7=6x+-3x | | 9w-18w-18w+36= | | =6+6(x+4)+15y+x | | -1(x+4)+5=4x+1-5x | | 14+4x+6=8x | | -19x+23y=-3 | | 3x+14x+2=19 | | -4p+15=-15 | | =5(x+3)+3(y+1) | | 5x-3(x-4)=-5+4x+13 | | (x+8)(x-7)=16 | | 0=-16t^2+20t+40 | | -4w-4= | | 99-4s-6s=-9 | | 9=b | | y=xcos(x) | | 2+2=8b | | 2x-5(x-5)=-4+3x+17 | | =2(x+y)+9x+6y | | 42=3(2-6h) | | z+8(z-4)=-4 | | 2x^2-9x-12=0 | | 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) |

Equations solver categories