X=(7x-8)(7x-8)

Solution for X=(7x-8)(7x-8) equation:

X=(7X-8)(7X-8)

We move all terms to the left:

X-((7X-8)(7X-8))=0

We multiply parentheses ..

-((+49X^2-56X-56X+64))+X=0


We calculate terms in parentheses: -((+49X^2-56X-56X+64)), so:

(+49X^2-56X-56X+64)

We get rid of parentheses

49X^2-56X-56X+64

We add all the numbers together, and all the variables

49X^2-112X+64

Back to the equation:

-(49X^2-112X+64)


We add all the numbers together, and all the variables

X-(49X^2-112X+64)=0

We get rid of parentheses

-49X^2+X+112X-64=0

We add all the numbers together, and all the variables

-49X^2+113X-64=0

a = -49; b = 113; c = -64;
Δ = b2-4ac
Δ = 1132-4·(-49)·(-64)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(113)-15}{2*-49}=\frac{-128}{-98}
=1+15/49
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(113)+15}{2*-49}=\frac{-98}{-98}
=1
$