4.5x(8.9x)=6.5x

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Solution for 4.5x(8.9x)=6.5x equation:



4.5x(8.9x)=6.5x
We move all terms to the left:
4.5x(8.9x)-(6.5x)=0
We add all the numbers together, and all the variables
4.5x(+8.9x)-(+6.5x)=0
We multiply parentheses
32x^2-(+6.5x)=0
We get rid of parentheses
32x^2-6.5x=0
a = 32; b = -6.5; c = 0;
Δ = b2-4ac
Δ = -6.52-4·32·0
Δ = 42.25
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{-(-6.5)-\sqrt{42.25}}{2*32}=\frac{6.5-\sqrt{42.25}}{64} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.5)+\sqrt{42.25}}{2*32}=\frac{6.5+\sqrt{42.25}}{64} $

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