7(x+9)=5(x2)

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Solution for 7(x+9)=5(x2) equation:



7(x+9)=5(x2)
We move all terms to the left:
7(x+9)-(5(x2))=0
determiningTheFunctionDomain 7(x+9)-5x2=0
We add all the numbers together, and all the variables
-5x^2+7(x+9)=0
We multiply parentheses
-5x^2+7x+63=0
a = -5; b = 7; c = +63;
Δ = b2-4ac
Δ = 72-4·(-5)·63
Δ = 1309
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{-(7)-\sqrt{1309}}{2*-5}=\frac{-7-\sqrt{1309}}{-10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1309}}{2*-5}=\frac{-7+\sqrt{1309}}{-10} $

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