If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/2x+2=2x-7
We move all terms to the left:
1/2x+2-(2x-7)=0
Domain of the equation: 2x!=0We get rid of parentheses
x!=0/2
x!=0
x∈R
1/2x-2x+7+2=0
We multiply all the terms by the denominator
-2x*2x+7*2x+2*2x+1=0
Wy multiply elements
-4x^2+14x+4x+1=0
We add all the numbers together, and all the variables
-4x^2+18x+1=0
a = -4; b = 18; c = +1;
Δ = b2-4ac
Δ = 182-4·(-4)·1
Δ = 340
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{340}=\sqrt{4*85}=\sqrt{4}*\sqrt{85}=2\sqrt{85}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{85}}{2*-4}=\frac{-18-2\sqrt{85}}{-8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{85}}{2*-4}=\frac{-18+2\sqrt{85}}{-8} $
| (x^2-x+1)^3=0 | | (2/3x)=8/9 | | 45*n+60=285 | | 36=1.2g | | 420a-1337(a(a2(a)(a)))=69 | | 3(x-5)=5x-29 | | -4+9(6x-10)=(50x-9) | | 3/4x+1/4=6/4 | | -4+9(6x-10)=(5x-1) | | -4+9(6x-10)=(54x-13) | | -7u+5(u+7)=37 | | -4+9(6x-10)=(54x+13) | | -4+9(6x-10)=(54x+5) | | 1.25*n+6.75=31.75 | | 7w-20=2(w-8) | | (3x4x1)+4=16 | | 2x6x3)+4=40 | | 9(2m=6)=2-8m | | 6(9x+1)=492 | | 4(x=1)=-4x-20 | | 10x-18=x-234 | | 1.5*5.6=4.8x | | 2(5x-4)=-288 | | 6x+3(x-6)=36 | | 30.00x0.25=59.50 | | 0.25÷x+30.00=59.50 | | 3(4x-)=294 | | -2(x-5)+3x=18 | | 4x-2(x=5)=12 | | 7x^2-74x+160=0 | | -154+x=56+7x | | -7(2x+6)+42=0 |