4x^2=((5.7-57x)(14.25-57x))

Solution for 4x^2=((5.7-57x)(14.25-57x)) equation:

4x^2=((5.7-57x)(14.25-57x))

We move all terms to the left:

4x^2-(((5.7-57x)(14.25-57x)))=0

We add all the numbers together, and all the variables

4x^2-(((-57x+5.7)(-57x+14.25)))=0

We multiply parentheses ..

4x^2-(((+3249x^2-812.25x-324.9x+81.225)))=0


We calculate terms in parentheses: -(((+3249x^2-812.25x-324.9x+81.225))), so:

((+3249x^2-812.25x-324.9x+81.225))


We calculate terms in parentheses: +((+3249x^2-812.25x-324.9x+81.225)), so:

(+3249x^2-812.25x-324.9x+81.225)

We get rid of parentheses

3249x^2-812.25x-324.9x+81.225

We add all the numbers together, and all the variables

3249x^2-1137.15x+81.225

Back to the equation:

+(3249x^2-1137.15x+81.225)


We get rid of parentheses

3249x^2-1137.15x+81.225

Back to the equation:

-(3249x^2-1137.15x+81.225)


We get rid of parentheses

4x^2-3249x^2+1137.15x-81.225=0

We add all the numbers together, and all the variables

-3245x^2+1137.15x-81.225=0

a = -3245; b = 1137.15; c = -81.225;
Δ = b2-4ac
Δ = 1137.152-4·(-3245)·(-81.225)
Δ = 238809.6225
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{-(1137.15)-\sqrt{238809.6225}}{2*-3245}=\frac{-1137.15-\sqrt{238809.6225}}{-6490}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1137.15)+\sqrt{238809.6225}}{2*-3245}=\frac{-1137.15+\sqrt{238809.6225}}{-6490}
$