5x^2=4-7x

Simple and best practice solution for 5x^2=4-7x 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 5x^2=4-7x equation:



5x^2=4-7x
We move all terms to the left:
5x^2-(4-7x)=0
We add all the numbers together, and all the variables
5x^2-(-7x+4)=0
We get rid of parentheses
5x^2+7x-4=0
a = 5; b = 7; c = -4;
Δ = b2-4ac
Δ = 72-4·5·(-4)
Δ = 129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{129}}{2*5}=\frac{-7-\sqrt{129}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{129}}{2*5}=\frac{-7+\sqrt{129}}{10} $

See similar equations:

| 3(x-2)-5=5x-2(3+x) | | 5+6-x=18 | | b–2=–11 | | 5-4x=6-4x | | 2x−5=x-1 | | -23w=4 | | 2.v+12=–5 | | -x+3=-3x+23 | | -14s=280 | | 25h=25+15h | | x=30+1/4 | | 6+x/3=-3x | | 14x+2(5x-6)=-3x-39 | | 24=h×3 | | 4(5x-2)=3(9x+3) | | 169=48+4x | | 10+7n=8n+2 | | 3=h×24 | | 4(2x+7)=-42+54 | | 4w-8=4•(w-2) | | 3r=-5+2r | | 12y=-4y | | x/8+15=30 | | x/9+11=28 | | 164=48+4x | | -4f-7=-3f | | 38x+99=180 | | x/22+9=12 | | 9/8(4-1/2x)=3(1/4x+5/2) | | -196=h7 | | 2.7n=3.7n-6.6=-13 | | 2w+10=56 |

Equations solver categories