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/4x-8=9-0.6x
We move all terms to the left:
/4x-8-(9-0.6x)=0
Domain of the equation: 4x!=0We add all the numbers together, and all the variables
x!=0/4
x!=0
x∈R
/4x-(-0.6x+9)-8=0
We get rid of parentheses
/4x+0.6x-9-8=0
We multiply all the terms by the denominator
(0.6x)*4x-9*4x-8*4x+=0
We add all the numbers together, and all the variables
(+0.6x)*4x-9*4x-8*4x+=0
We add all the numbers together, and all the variables
(+0.6x)*4x-9*4x-8*4x=0
We multiply parentheses
0x^2-9*4x-8*4x=0
Wy multiply elements
0x^2-36x-32x=0
We add all the numbers together, and all the variables
x^2-68x=0
a = 1; b = -68; c = 0;
Δ = b2-4ac
Δ = -682-4·1·0
Δ = 4624
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{4624}=68$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-68}{2*1}=\frac{0}{2} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+68}{2*1}=\frac{136}{2} =68 $
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