0=-2x^2+12x-18

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


Simplifying
0 = -2x2 + 12x + -18

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

Solving
0 = -18 + 12x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + -12x + 2x2 = -18 + 12x + -2x2 + 18 + -12x + 2x2

Reorder the terms:
18 + -12x + 2x2 = -18 + 18 + 12x + -12x + -2x2 + 2x2

Combine like terms: -18 + 18 = 0
18 + -12x + 2x2 = 0 + 12x + -12x + -2x2 + 2x2
18 + -12x + 2x2 = 12x + -12x + -2x2 + 2x2

Combine like terms: 12x + -12x = 0
18 + -12x + 2x2 = 0 + -2x2 + 2x2
18 + -12x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
18 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -6x + x2) = 0

Factor a trinomial.
2((3 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {3, 3}

See similar equations:

| 10x+5-3x+7=40 | | 6(2x-1)-12=3(7x+4) | | 5+2x=4x+10 | | 900=y^2 | | x=1-3y | | 6(-5+7)= | | 3u-17=-6u-17 | | 25.2=-1.5y+12 | | 2a-11=-4 | | 30-(3x+10)=3(x+2)+x | | 126=3x | | 5a+9x=-4 | | 6*(Z*4)=(6*Z)*4 | | 5t^2-60t+160= | | y=50-4x | | 0=4x^2+4x-8 | | s^2=81 | | 25z=225 | | -5(x-1)=5-4x | | 3r-3=8 | | ln(x-10)=0.5 | | v^2-9v+18= | | 7.6*(Z*4)=(6*Z)*4 | | 2y(3y+1)= | | 8-6n=3n+42 | | Tan=-1.5 | | (4x)=(5x)-3 | | 2x-10-3x=5 | | 1-5k=10k-14 | | -(-3x-4w+6)= | | (z/8)^2 | | 9(6+u)+2u=-10 |

Equations solver categories