1(2/3)x+5=180

Solution for 1(2/3)x+5=180 equation:

1(2/3)x+5=180

We move all terms to the left:

1(2/3)x+5-(180)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

1(+2/3)x+5-180=0

We add all the numbers together, and all the variables

1(+2/3)x-175=0

We multiply parentheses

2x^2-175=0

a = 2; b = 0; c = -175;
Δ = b2-4ac
Δ = 02-4·2·(-175)
Δ = 1400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1400}=\sqrt{100*14}=\sqrt{100}*\sqrt{14}=10\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{14}}{2*2}=\frac{0-10\sqrt{14}}{4}
=-\frac{10\sqrt{14}}{4}
=-\frac{5\sqrt{14}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{14}}{2*2}=\frac{0+10\sqrt{14}}{4}
=\frac{10\sqrt{14}}{4}
=\frac{5\sqrt{14}}{2}
$