7x(x-4)=5*(x-2)

Simple and best practice solution for 7x(x-4)=5*(x-2) 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 7x(x-4)=5*(x-2) equation: 



7x(x-4)=5(x-2)

We move all terms to the left:

7x(x-4)-(5(x-2))=0

We multiply parentheses

7x^2-28x-(5(x-2))=0



We calculate terms in parentheses: -(5(x-2)), so:

5(x-2)

We multiply parentheses

5x-10

Back to the equation:

-(5x-10)



We get rid of parentheses

7x^2-28x-5x+10=0

We add all the numbers together, and all the variables

7x^2-33x+10=0

a = 7; b = -33; c = +10;
Δ = b2-4ac
Δ = -332-4·7·10
Δ = 809
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{-(-33)-\sqrt{809}}{2*7}=\frac{33-\sqrt{809}}{14}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{809}}{2*7}=\frac{33+\sqrt{809}}{14}
$

See similar equations:

| 7x-1/2=5x-15/4 | | X+5=7x-3 | | 92=4(4+v) | | N=3m-6+m | | 12x+17+55=180 | | 10+7n=66 | | -161=-7(v+9) | | 2(3-4)x=2x-(x-5) | | 8+3/12n=13 | | 6(r+9)=96 | | 2(3-4x=2x-(x-5) | | 4-2n=-20 | | 12x+15=55 | | x+3/x+2=x+2/x+3 | | 7x+8=3(x-2)-10 | | 1=10+x/18 | | 3+k/2=8 | | 9=5-t/5 | | X^2+17-11=13x+10 | | -144=-9(8+b) | | -6=-6+b/3 | | 2(x-3=(x-1)+7 | | 4·(x+1)=2x+10 | | 3x^2-10x-37=0 | | --5-v/3=8 | | 4(n-1)=4 | | 3/4+4m/7=41/28 | | Y=2x2+7x+5 | | 2x^2+6x-63=0 | | 3(x+2=-5-2(x-3 | | 5x=19x+7 | | 25/15=104/n+30 |

Equations solver categories