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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

2x^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 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

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

We add all the numbers together, and all the variables

-3247x^2+1137.15x-81.225=0

a = -3247; b = 1137.15; c = -81.225;
Δ = b2-4ac
Δ = 1137.152-4·(-3247)·(-81.225)
Δ = 238159.8225
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{238159.8225}}{2*-3247}=\frac{-1137.15-\sqrt{238159.8225}}{-6494}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1137.15)+\sqrt{238159.8225}}{2*-3247}=\frac{-1137.15+\sqrt{238159.8225}}{-6494}
$