6x2=1-4x

Simple and best practice solution for 6x2=1-4x 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 6x2=1-4x equation:



6x^2=1-4x
We move all terms to the left:
6x^2-(1-4x)=0
We add all the numbers together, and all the variables
6x^2-(-4x+1)=0
We get rid of parentheses
6x^2+4x-1=0
a = 6; b = 4; c = -1;
Δ = b2-4ac
Δ = 42-4·6·(-1)
Δ = 40
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{40}=\sqrt{4*10}=\sqrt{4}*\sqrt{10}=2\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{10}}{2*6}=\frac{-4-2\sqrt{10}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{10}}{2*6}=\frac{-4+2\sqrt{10}}{12} $

See similar equations:

| 90=-2d+96 | | 2(9+2x)=42+x | | 124/7−x=43/14 | | 6+3/6x=8+2/6x | | 1=w/138+0.3 | | y=7.8*6+62 | | 4x(2x-3)=5x+7 | | 6x+4=2x-3+4x | | 4^x=2000000 | | 20+8(q-11)=-22 | | 1.2x+4.3=2.1­x | | k/1.5=4 | | 3(1-5k)=-7k+19 | | 16x+67+4x+7-x=112 | | 22+44=-4x+10x-5x | | -7y+3(y-6)=18 | | 3(7+13z)=+z | | 3(2x+10)=x | | 2x-2÷6-1/2=x/2-2 | | 5x2=14 | | 8.5v+50=-1 | | 4p-15=-36+p | | 5/3m+1=2m+13/6 | | 4.9x^2-4.82x-1.2=0 | | -25r+27r=-14 | | 7x+11+4x-28+2x+4=180 | | 9(5x-11)+12(x+9)=-21 | | 4(x-5)+2=(x+3) | | 6t^2+36t+1=0 | | |y|y=-47 | | -11g-103=-4g+128 | | -11g-103=-4g |

Equations solver categories