3x^2-2x=21

Simple and best practice solution for 3x^2-2x=21 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 3x^2-2x=21 equation:


Simplifying
3x2 + -2x = 21

Reorder the terms:
-2x + 3x2 = 21

Solving
-2x + 3x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + -2x + 3x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + -2x + 3x2 = 0

Factor a trinomial.
(-7 + -3x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

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 = {-2.333333333, 3}

See similar equations:

| x^2+18x+25=0 | | 7(x-2)=5+3(x-6) | | (9x^3-9x+3)+(5x+5)-(6x^3-8x^2+5)=0 | | 3x+15=4x-6 | | w(2+3w)=16 | | 9x^2-15x-6=0 | | 3x-15y=12 | | 3(x)+2= | | 5(x+6)=3(x+1)+5x | | 27(2x)=3x-7 | | 15.8-6m=3.8 | | 7(d+5)-12=-5 | | 3x+15=6x-9 | | 5x-10=13x+29 | | 4a-2.8=6.8 | | 16y-23y= | | -(x+5)=13 | | 4x+18=38 | | 3x+10=12x-14 | | 0.8x+3.2-4.3x=7.7 | | 3d+8=2d+-17 | | 27x+10x=6+12 | | 8(x+3)-2x=4-4(x+10) | | 2.3x+1.2+2.5x=9.2 | | (6x^2+4x+11)+(-8x^3+6x+7)=0 | | 2x-7y-4y+11x+6= | | x-5=8-2(x+2) | | 5+2n=-15 | | 4t-24=-20t-28 | | 3(x-7)=-27 | | 4z=17-25 | | 5(2x-3)+4x=13 |

Equations solver categories