If it's not what You are looking for type in the equation solver your own equation and let us solve it.
4x^2+6x-4=7
We move all terms to the left:
4x^2+6x-4-(7)=0
We add all the numbers together, and all the variables
4x^2+6x-11=0
a = 4; b = 6; c = -11;
Δ = b2-4ac
Δ = 62-4·4·(-11)
Δ = 212
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{212}=\sqrt{4*53}=\sqrt{4}*\sqrt{53}=2\sqrt{53}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{53}}{2*4}=\frac{-6-2\sqrt{53}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{53}}{2*4}=\frac{-6+2\sqrt{53}}{8} $
| 5x-15+30+90=180 | | 3x-3+4=4x-2 | | 12(x+3)=24+2 | | 5w+30=-7w+102 | | -3m-8=-5-3 | | 2x-3+x+4=4x−2 | | 4.5x=108 | | -4(3v-5)+6v=4(v+6) | | -1/6t+1=2t-10 | | x+15=(-21) | | -2y+26=-6(y-5) | | x²+27=+31 | | (4x-3)=180 | | 7m+8=–5m+8+m | | -42=-6k | | 5x2=3x4 | | x+25=(-21) | | -8j+2j=36-18 | | 3x-4+10=2x+12 | | -4y+7=6y+67 | | a+a/2=3011 | | 2(3x+9)=-49+19 | | -19+5=-5+3(4v+9) | | 5×x+2=97 | | x=100+0.3 | | 4b+3=-b-47 | | -11x-10=14-3x | | 12y+-12=11y+22 | | 2b/3=3 | | 4=5n+1-6n | | -0.3(n-2.1)0.9=-0.2(2n-1.2) | | 14r+6=6r+13r-15 |