6x^2+5x=21

Simple and best practice solution for 6x^2+5x=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 6x^2+5x=21 equation:


Simplifying
6x2 + 5x = 21

Reorder the terms:
5x + 6x2 = 21

Solving
5x + 6x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + 5x + 6x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 5x + 6x2 = 0

Factor a trinomial.
(-7 + -3x)(3 + -2x) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-2.333333333, 1.5}

See similar equations:

| -(15p-1)+24+2(5+5p)=0 | | 3x+5x-5=15 | | -7=-5y+4(-y+9)-7(7+3y) | | 8(t-5)+6t=7(2t+5)-12 | | 10(-3-2t)+10-2(6t-13)=0 | | 90=2y-30 | | 6x-(5x+7)=-4 | | 6x+5x+2+9=3x+4+7x | | -6(4x+1)+7x+9(x-3)=4 | | 3(6s+12)-(10s-6)=0 | | -6y+4=-7y+8 | | 3p-5+8p=17+2p | | 18(-x-2)-4(-9+3x)=-14 | | 9p+4=7+8p | | -2=-4(-7y+1)+5(8+2y) | | -3(5s-3)-9=-3(8s+6)-4 | | 9(k-4)+2k=2(k-1)+7k | | 12(4+n)+5(-2n-9)=18 | | (w+23)+(4w+7)=180 | | 4x+6=2x+4 | | -8x+6(3x+5)=-25 | | 2x=50 | | -9(8-m)-13=5 | | -2(3s-3)-6=-2(9s+10)-2 | | 4x-9=6x+22 | | 3(-6x+9)-10x=1 | | -2x+8=13+3x | | -2(3s-2)-4=-3(5s+4)-4 | | 4(x-8)=x+1 | | 8-(3x-8)=17 | | 50=15-6(2x-5) | | 5=x+17 |

Equations solver categories