6=3x^2+3x

Simple and best practice solution for 6=3x^2+3x 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 6=3x^2+3x equation:


Simplifying
6 = 3x2 + 3x

Reorder the terms:
6 = 3x + 3x2

Solving
6 = 3x + 3x2

Solving for variable 'x'.

Reorder the terms:
6 + -3x + -3x2 = 3x + -3x + 3x2 + -3x2

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -1x + -1x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {1, -2}

See similar equations:

| N^2-n-40=0 | | 3x^2-18x+2=2 | | 3/5*x=42 | | 3-4(z+1)=3z-(z+2) | | 0.50(x+2)+0.75(x+4)=x+5 | | x^2+64-361=0 | | .234=x/6.99*10^-4-x | | 2(11x+28)= | | 10x-3y=-16 | | 4n^3=6n | | 4ln(x-8)-3=13 | | 1.07=3.21 | | -8f=-8 | | 13p=8 | | 4(x-1)-9=6x-2(5+x) | | -6a+5=-a+-3 | | .2344=x/((6.99x10^-4)-x) | | 25*cos(x/50) | | 4(d-3)=23 | | 6x+4x-2x+5x= | | 4-2n=5+1n | | =-20x^2+380x+3600 | | .25x+.75+.75=4 | | (18-2x)(15-2x)x=270 | | -6(3v-4)=96 | | 6+2n=4-3n | | 9x-12xy= | | 9.9=-0.01x^2+0.25x+9.44 | | an=-50+15(n-1) | | 4/20=10/n | | M(x)=7ln(x^7+5x^3)-4x^10 | | (11x+-8)+7(x+-1)= |

Equations solver categories