1.4x(6-x)=1.2(4-x)

Solution for 1.4x(6-x)=1.2(4-x) equation:

1.4x(6-x)=1.2(4-x)

We move all terms to the left:

1.4x(6-x)-(1.2(4-x))=0

We add all the numbers together, and all the variables

1.4x(-1x+6)-(1.2(-1x+4))=0

We multiply parentheses

-1x^2+6x-(1.2(-1x+4))=0


We calculate terms in parentheses: -(1.2(-1x+4)), so:

1.2(-1x+4)

We multiply parentheses

-1.2x+4.8

Back to the equation:

-(-1.2x+4.8)


We get rid of parentheses

-1x^2+6x+1.2x-4.8=0

We add all the numbers together, and all the variables

-1x^2+7.2x-4.8=0

a = -1; b = 7.2; c = -4.8;
Δ = b2-4ac
Δ = 7.22-4·(-1)·(-4.8)
Δ = 32.64
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{-(7.2)-\sqrt{32.64}}{2*-1}=\frac{-7.2-\sqrt{32.64}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.2)+\sqrt{32.64}}{2*-1}=\frac{-7.2+\sqrt{32.64}}{-2}
$