4x2+2x-106=2x-6

Simple and best practice solution for 4x2+2x-106=2x-6 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 4x2+2x-106=2x-6 equation:



4x^2+2x-106=2x-6
We move all terms to the left:
4x^2+2x-106-(2x-6)=0
We get rid of parentheses
4x^2+2x-2x+6-106=0
We add all the numbers together, and all the variables
4x^2-100=0
a = 4; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·4·(-100)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*4}=\frac{-40}{8} =-5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*4}=\frac{40}{8} =5 $

See similar equations:

| Y=6y+4 | | (0.3y+1.1)-(0.5y+1)=5.6-y | | (18x-11)-(10x+6)=6x | | (6m-4)-(7m+7)-m=1 | | 2w²-11w+40=40 | | 17p-8-(p+7)+15p=0 | | 15x=(6x-1)-(x+18) | | (3y-1)-(2y+4)+y=33 | | 5(2y+1)=10y+6 | | 15y=32y | | 4(2x−3)=10 | | (6-x)(15-2x)=25 | | (3x-1)*(5x+2)=168 | | (3x-1)(5x+2)=168 | | 4/1=8000/x | | ((2x+9)/5)=5 | | 84/x=6*7 | | 32/5x=15 | | 3y2=4y+4 | | 25+4w=15+8w | | Y=-80x+600 | | 15x^2-26x+46=0 | | y-6y+8y=1 | | 2w2-11w-15=55 | | 3x=-24/7 | | 9-8x=-49 | | -3(-2x-5)+x=0 | | 10x+1=8x-5 | | -3(-2x-5)=-x | | 100x^2-100x-25=0 | | 3(4-2x)+6=24 | | 9x–1=6x+4 |

Equations solver categories