62.84x-123.66=4(2.36+2.4x)62.84x-123.66=4(2.36+2.4x)

Solution for 62.84x-123.66=4(2.36+2.4x)62.84x-123.66=4(2.36+2.4x) equation:

62.84x-123.66=4(2.36+2.4x)62.84x-123.66=4(2.36+2.4x)

We move all terms to the left:

62.84x-123.66-(4(2.36+2.4x)62.84x-123.66)=0

We add all the numbers together, and all the variables

62.84x-(4(2.4x+2.36)62.84x-123.66)-123.66=0


We calculate terms in parentheses: -(4(2.4x+2.36)62.84x-123.66), so:

4(2.4x+2.36)62.84x-123.66

We multiply parentheses

496x^2+585.28x-123.66

Back to the equation:

-(496x^2+585.28x-123.66)


We get rid of parentheses

-496x^2+62.84x-585.28x+123.66-123.66=0

We add all the numbers together, and all the variables

-496x^2-522.44x=0

a = -496; b = -522.44; c = 0;
Δ = b2-4ac
Δ = -522.442-4·(-496)·0
Δ = 272943.5536
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{-(-522.44)-\sqrt{272943.5536}}{2*-496}=\frac{522.44-\sqrt{272943.5536}}{-992}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-522.44)+\sqrt{272943.5536}}{2*-496}=\frac{522.44+\sqrt{272943.5536}}{-992}
$