If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2x(3x-2)=5(2-3x)
We move all terms to the left:
2x(3x-2)-(5(2-3x))=0
We add all the numbers together, and all the variables
2x(3x-2)-(5(-3x+2))=0
We multiply parentheses
6x^2-4x-(5(-3x+2))=0
We calculate terms in parentheses: -(5(-3x+2)), so:We get rid of parentheses
5(-3x+2)
We multiply parentheses
-15x+10
Back to the equation:
-(-15x+10)
6x^2-4x+15x-10=0
We add all the numbers together, and all the variables
6x^2+11x-10=0
a = 6; b = 11; c = -10;
Δ = b2-4ac
Δ = 112-4·6·(-10)
Δ = 361
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{361}=19$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-19}{2*6}=\frac{-30}{12} =-2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+19}{2*6}=\frac{8}{12} =2/3 $
| t=0.2t | | 13x+4=-5 | | 7a+3=7a-5 | | 36=6(2-8x) | | 3t-2/3+2t+3/3=t+7/6 | | c/3−6=2 | | -2=24x-50 | | 10c+2=4c+14 | | s/2+20=26 | | -.6x+.3+x=2/5 | | -200=8(4a-7) | | 5×(6-x)-30=-9×(x+4) | | 78−j=74 | | -1+10(x+5)=10(2x+10)+9 | | j/6+36=46 | | 66=4(2x-3)+2(x=4) | | -12(b-1)=2(-3b+12) | | n+26=34 | | 5n+7-3n=-1 | | 9+(9+0.5*x)=0 | | 9+(0.5*x)=0 | | 8g-2=54 | | 33x+45=93 | | 10(x-3)+x=86 | | 16/11=3/x | | 2/3(3x+9)=−2(2x+6) | | 19b+32=72 | | 4(2x+4)=2(4x+1)-14 | | 7+b=30 | | 10x+10=13x-24 | | 5(x+4)=6(x-7) | | 5/7b=5 |