If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x^2+7=27
We move all terms to the left:
3x^2+7-(27)=0
We add all the numbers together, and all the variables
3x^2-20=0
a = 3; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·3·(-20)
Δ = 240
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{240}=\sqrt{16*15}=\sqrt{16}*\sqrt{15}=4\sqrt{15}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{15}}{2*3}=\frac{0-4\sqrt{15}}{6} =-\frac{4\sqrt{15}}{6} =-\frac{2\sqrt{15}}{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{15}}{2*3}=\frac{0+4\sqrt{15}}{6} =\frac{4\sqrt{15}}{6} =\frac{2\sqrt{15}}{3} $
| 15+2x=3(−x+3)−14 | | 8²-4(x(8-x))=32 | | 29=5+w/4 | | 20x+40=40x+2020x+40=40x+20 | | -5(r+1)-6=-93 | | 10+z=6 | | 5.2(x-2.75=10.4 | | f+194=7 | | 4/5b=11 | | 140-w=192 | | -45x-45=-75x+25 | | 8(x-1)-2x=-(x=50) | | (10x-5)=(4x+8) | | (3x-1.5)/(.9-1.5x)=0 | | 4+2w=2 | | -18=-2(w+8) | | 73x-37=73x-3773x−37=73x−37 | | 140-x=192 | | 6+5x=5-7x | | 12v=12+9v | | 20=3-5x-5 | | 5.8g+9=1.8g+29 | | 3x+72+6x=18 | | -3x+103+109=180 | | 100-30*e=80 | | 6/5x=15x | | 3+5=11-x | | n−2=6−3n | | n=15/2=3 | | 3/7r=16 | | 16y=-14 | | -2+5/2·-2=m |