12x^2=4x+5

Simple and best practice solution for 12x^2=4x+5 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 12x^2=4x+5 equation:


Simplifying
12x2 = 4x + 5

Reorder the terms:
12x2 = 5 + 4x

Solving
12x2 = 5 + 4x

Solving for variable 'x'.

Reorder the terms:
-5 + -4x + 12x2 = 5 + 4x + -5 + -4x

Reorder the terms:
-5 + -4x + 12x2 = 5 + -5 + 4x + -4x

Combine like terms: 5 + -5 = 0
-5 + -4x + 12x2 = 0 + 4x + -4x
-5 + -4x + 12x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -4x + 12x2 = 0

Factor a trinomial.
(-1 + -2x)(5 + -6x) = 0

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333

Solution

x = {-0.5, 0.8333333333}

See similar equations:

| 3x-4x+2x+x=16 | | 27+x=4x-15 | | 3x-1x=34+2x | | 8+6x-10=10x+11-4x | | x+(x*2)+(x*2)-1.50=12.25 | | 14+3x-7=7x+7-4x | | 6k^2-8k=0 | | 6f^2+33f-63=0 | | 7+1x=1x-16 | | 5x+4-3x+1=17 | | 13x+10=180 | | 4(8-5)+6=-2 | | 11x+2=180 | | 5x^2-10x=23 | | 2.9n-5.1/2=4.7 | | -x^2+6x+26=0 | | 5x-6=4x | | 19m-3=1.4-1m | | V=-2000+20000 | | 7x-3=180 | | 67*53= | | 4x-5=3+2x | | 3(t+2)+1=9 | | 3n*55n+7-4n*8n*9m=11 | | 3-5x=6x-8 | | 3(t+2)+1=5t | | -4c-9+5c=0 | | 12(z-1)-5z^2(1-z)=0 | | .66666666666666x-4=1.25 | | 3h=28-h | | .67x-4=1.25 | | 256x^4-81= |

Equations solver categories