If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2x(x-3)=5x-12
We move all terms to the left:
2x(x-3)-(5x-12)=0
We multiply parentheses
2x^2-6x-(5x-12)=0
We get rid of parentheses
2x^2-6x-5x+12=0
We add all the numbers together, and all the variables
2x^2-11x+12=0
a = 2; b = -11; c = +12;
Δ = b2-4ac
Δ = -112-4·2·12
Δ = 25
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{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-5}{2*2}=\frac{6}{4} =1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+5}{2*2}=\frac{16}{4} =4 $
| q-18/6=-5 | | -6(s+6)=-78 | | H=15b-21 | | 7t+15=12t | | 5x-x=22 | | (3x+7)/5=x+3 | | (72-x)/5=10 | | 2C+4d=2 | | 15y-18+78=0 | | t2-10t-54=0 | | 3x+16=4x+19 | | 22^x+5=64 | | 736+(g-123)=936 | | 28x-15x=-27+56 | | 2=27(5x+6) | | 5x^2-10+21=0 | | 3*3*3*3*3*x=69 | | 2x^2-6+9=12.5 | | 2x^2-6+5=8.5 | | 3^2=7-2x | | -30=-5(x+2) | | -3+6x+1=19 | | 4=18t-16t^2 | | 5+y/4=17 | | 3(4y-5)+14=2(2y+2)+17 | | 5(x+8)+3=-9(x-8)-6 | | 4(x+8)+2=-4(x-10)-7 | | -5(x-1)+4=-3(x-4) | | 4(4x+3)=3(2x+5) | | 12x+1=11(x+6)+2 | | 5(x-9)-4=32x-130 | | 4(5+x)=20+48 |