2x^2+6x=-18

Simple and best practice solution for 2x^2+6x=-18 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+6x=-18 equation:


Simplifying
2x2 + 6x = -18

Reorder the terms:
6x + 2x2 = -18

Solving
6x + 2x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + 6x + 2x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 3x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + 3x + x2)' equal to zero and attempt to solve: Simplifying 9 + 3x + x2 = 0 Solving 9 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 3x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 3x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x + x2 = 0 + -9 3x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 3x + x2 = -9 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -9 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + 3x + x2 = -6.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| -7n+8=-5n-4 | | 20x-5-16x+2=15x-4-11x+13 | | x+18+2x=-20-2x-27 | | 6x-45=45 | | -14x-20=-12x+120 | | 5x+35=65 | | 17-4x=12+x | | -2(5x-3)+3(4-3x)= | | 0.43+2x=13.6 | | 8y^2-10y-3=0 | | 8x-1=9x+9 | | 5c^2+6=0 | | 10x=62 | | 6y-3=10y+13 | | 2(x+8)=26 | | 4y-14x=1 | | 7*9-5= | | x+3=31 | | 7-x+4x-3-9x= | | 10*-9= | | 2+(-a)=18 | | 25x-7-17x+2=22x-7-14x+15 | | 9+19r-3=9r-132-4r | | x^3-6x^2+12x-9=0 | | 4n+3=2n-9 | | 5(2v+6)=-4(-5-2x)+3x | | 4+6(x-3)=3-5(x-4) | | 5a-3a=5-3(a+5) | | 9x+1=1.27 | | 2x+x-7= | | 7y+8+5y= | | -4y+8+4y=8 |

Equations solver categories