If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5x^2+6x-6=12-3x
We move all terms to the left:
5x^2+6x-6-(12-3x)=0
We add all the numbers together, and all the variables
5x^2+6x-(-3x+12)-6=0
We get rid of parentheses
5x^2+6x+3x-12-6=0
We add all the numbers together, and all the variables
5x^2+9x-18=0
a = 5; b = 9; c = -18;
Δ = b2-4ac
Δ = 92-4·5·(-18)
Δ = 441
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{441}=21$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-21}{2*5}=\frac{-30}{10} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+21}{2*5}=\frac{12}{10} =1+1/5 $
| 38+7k=8(k+4 | | 9+n=4n+15 | | 3(2+4)+2-3+5=x | | 24w-23=6w | | 200m-75m+62,725=66,300-200 | | 3x=3/2(2x-1)=2 | | 0=4x^2+2x+4 | | 8x^2-64x=-147 | | 3(2x-3)=171 | | -8x+48=4x | | (x+12)^3/2=216 | | (7x-9)x2=5x-6 | | x+2/7=204/5 | | 3/7x-2=4 | | 6(m+4)=29+7m | | 221=63u-u | | 13x+6/2=8 | | -1=b÷4-7 | | 62+14x=-64 | | -9(x-7)=-90 | | -8x+48=x | | 2(-3a+5)=-4(a+4 | | 6(x-1)=0 | | 3(7x+6)=-108 | | 3x-13=-7x+15 | | 7+-2x=29 | | 2.5-1h=h/2 | | 8n+3=4+6n+7+8 | | 4x+2=4+5x | | 12x=(16)x-2 | | -3x-13=-7x=+15 | | 7y-3=y-3 |