x^2=4-6x

Simple and best practice solution for x^2=4-6x 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 x^2=4-6x equation:



x^2=4-6x
We move all terms to the left:
x^2-(4-6x)=0
We add all the numbers together, and all the variables
x^2-(-6x+4)=0
We get rid of parentheses
x^2+6x-4=0
a = 1; b = 6; c = -4;
Δ = b2-4ac
Δ = 62-4·1·(-4)
Δ = 52
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:
$\sqrt{\Delta}=\sqrt{52}=\sqrt{4*13}=\sqrt{4}*\sqrt{13}=2\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{13}}{2*1}=\frac{-6-2\sqrt{13}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{13}}{2*1}=\frac{-6+2\sqrt{13}}{2} $

You can always share this solution

See similar equations:

| x2=4-6x | | 5x-1/3=3x-1 | | x-3^2=4096 | | 3(5x+1)=2(2x-6) | | 3a+2=11a-6 | | 625^x-2=(5)^2x-10 | | 4x*2+8x-9=0 | | 11x=3x^2-9 | | 2^2s=50 | | 3x(1-2x)=16 | | 11x=3x2-9 | | 11x=3x-9 | | X+2x+9x=156 | | r^-100=0 | | X=2/7(180-x) | | a=-4a+10 | | x^2+3x-0.64=0 | | 8^(x-2)×(1/2)^(4-3x)=(0.0625)^x | | 3(x-1)-2(3-x)=1 | | x2+0x-0.25=0 | | 5x+3=427 | | 4k^2+16k=-7 | | 7t-3÷4t=18 | | (5x+3)(x-1)=5x^2 | | 5+2(3-x)=4x-1 | | 7-5x=21+2x | | 6c-2=54 | | 2x+23=-4x+47 | | -6x+17=-19 | | 4x²+8x-9=0 | | 5x/2+4=7x | | 5x/2-4=7x | | 16+6z=10 | | x-30/100=338 | | x(22/100)=15,000 | | Y=x2-12x-5 | | X^(2)=4-6x | | 15b+50=35 | | 17(5)^x=7(2)^x | | ((5x)/(2))+4=7x | | 4/3x-1+(2x+3)(2x-3)/12-(2x+3)2=2/3x-9x-3/6 | | 4/3x-1+(2x+3)(2x-3)/12-(2x+3)^2=2/3x-9x-3/6 | | 40x+10(1.5x)=1600 | | p+6p?5p=20 | | 4x^2-70x+150=0 | | 2x2+5x-8=0 | | 7x=3x+12=2x+5= | | 7x=3x+122x+5= | | 3/d+2=9 | | 50.?56+x=?12?23 | | 2*(x+8)=20 | | 22*x=226 | | 4n+12+3n=82 | | 2*(x+4)=14 | | 10=90(1/2)^x | | 17–x=9x= | | 5*(x-3)=15 | | 8*(x+2)=48 | | 4x+66=10x+12x= | | 12x-3x-36000=0 | | 0,5*(x-8)=5 | | 5*(x+4)=30 | | 44=2/3x | | n/20=3 | | 0.2x-1.7=0.6x-0.1 |

Equations solver categories