If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3/2x+2=-4+3x
We move all terms to the left:
3/2x+2-(-4+3x)=0
Domain of the equation: 2x!=0We add all the numbers together, and all the variables
x!=0/2
x!=0
x∈R
3/2x-(3x-4)+2=0
We get rid of parentheses
3/2x-3x+4+2=0
We multiply all the terms by the denominator
-3x*2x+4*2x+2*2x+3=0
Wy multiply elements
-6x^2+8x+4x+3=0
We add all the numbers together, and all the variables
-6x^2+12x+3=0
a = -6; b = 12; c = +3;
Δ = b2-4ac
Δ = 122-4·(-6)·3
Δ = 216
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{216}=\sqrt{36*6}=\sqrt{36}*\sqrt{6}=6\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-6\sqrt{6}}{2*-6}=\frac{-12-6\sqrt{6}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+6\sqrt{6}}{2*-6}=\frac{-12+6\sqrt{6}}{-12} $
| 38-7x=-10 | | 3x-13+2x=(x-2) | | 56/4(-5+x)=7 | | 56/4(-5+x=7 | | 2x(3+5)=8x+20 | | 14=10.5,x=12.5 | | 4z+6=9+2z | | 4c+9=19 | | Xx0.2=69220 | | y=-7(-1)-10 | | 10x+9=5+6x | | x³=84 | | 49+x=22 | | 4*(3-x)-11=7*(2x-5) | | a-15=4a-3a−15=4 | | 4*(3-x0-11=7*(2x-5) | | 6t-3=4t-7 | | 4,2x-32,6=2,8x-36,8 | | 9x=846 | | 5(2x-4)=3(3x+8) | | x-12+9x=15-7x-3x-7 | | 0.07^x/0.08637^x=0.769 | | 5x(x+9)+4x=5 | | x/3=1050 | | 4,37+6,7x=7,75+9,3x | | 6x2-7x-9=0 | | 5x+3=x+8+4x-5 | | 13=4b+1 | | -j=62j+3 | | x/3=1,350 | | 2z/7+7=6 | | J-6=4b-12 |