(6x-7-2x+7)(6x-7+2x-7)=0

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Solution for (6x-7-2x+7)(6x-7+2x-7)=0 equation:



(6x-7-2x+7)(6x-7+2x-7)=0
We add all the numbers together, and all the variables
(+4x)(8x-14)=0
We multiply parentheses ..
(+32x^2-56x)=0
We get rid of parentheses
32x^2-56x=0
a = 32; b = -56; c = 0;
Δ = b2-4ac
Δ = -562-4·32·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-56}{2*32}=\frac{0}{64} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+56}{2*32}=\frac{112}{64} =1+3/4 $

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