3x^2+2x-21=0

Simple and best practice solution for 3x^2+2x-21=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 3x^2+2x-21=0 equation: 


Simplifying
3x2 + 2x + -21 = 0

Reorder the terms:
-21 + 2x + 3x2 = 0

Solving
-21 + 2x + 3x2 = 0

Solving for variable 'x'.

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


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 '(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
Solution
x = {-3, 2.333333333}

See similar equations:

| 3+10x=39+x | | 5+3=-2 | | -8-8x+10+6x=19 | | 3C^2-12C+11=0 | | 2x^2-250x+5000=0 | | 7-4c=10c | | 2y=-11x+8 | | (x+1)(x+2)(x+3)(x+4)=840 | | 3x+5=x-7 | | x^2+14x+33=0 | | 2x+39=10-25 | | 4x+10=2x+40 | | 3w+2-w=24 | | -55=0.25(4+20r)-8r | | 9x=-4 | | 4x+38=7x+14 | | 8k=-72 | | 5+xi=6 | | 2s=-1 | | -x+4=-7 | | 2t^2-6t+5=0 | | 3(x+2)=4(x-1)+3(x+4) | | s^2+4s-6= | | 8k=-4 | | U-8=-15 | | -6+3y=2(y-7) | | 12x^2-42x^5= | | 10x=8x^2 | | 20x^2=-25x | | (x+1)(x+2)(x+3)(x+4)-840=0 | | 5m-4=2m+8 | | 7y-12=15+6y |

Equations solver categories