If it's not what You are looking for type in the equation solver your own equation and let us solve it.
4x^2-30x=12+10x
We move all terms to the left:
4x^2-30x-(12+10x)=0
We add all the numbers together, and all the variables
4x^2-30x-(10x+12)=0
We get rid of parentheses
4x^2-30x-10x-12=0
We add all the numbers together, and all the variables
4x^2-40x-12=0
a = 4; b = -40; c = -12;
Δ = b2-4ac
Δ = -402-4·4·(-12)
Δ = 1792
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1792}=\sqrt{256*7}=\sqrt{256}*\sqrt{7}=16\sqrt{7}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-16\sqrt{7}}{2*4}=\frac{40-16\sqrt{7}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+16\sqrt{7}}{2*4}=\frac{40+16\sqrt{7}}{8} $
| 3x2+11x+6=0 | | 5a+6=36. | | 97x+197-76x=34x+65-97x+197-76x-40 | | 8-7n=6n+2n | | n-4=32 | | 3.50d=32.5 | | –6x–17=19 | | 14^2+12^2=x^2 | | 5/y+3+3/y-5=8/y+4 | | x+10/6=5x-8/7 | | (0.6+x)(0.6+x)/(1.4-x)=0 | | 4x-(5x+6)=3x-34 | | 7/5=2x/116 | | 3+4y=66 | | n+1.10=4 | | 22x^2-22x+4=0 | | 83-x=98-2x | | 18-3x-3=6x-4x | | 32.5=2t-3.5 | | 16x^2+1=-48 | | C(t)=0.3t/1+4t+4 | | (1/6)x+4=x+9 | | 3/5=9/x=x/25=24/x | | 3x+2+27-17=43 | | 24r^2=3r | | 3/2(2x+6)=3+9 | | 7x^2+20x=350 | | 9r-15=22 | | x-15.3=4.2 | | 2*6+3y=2 | | 4(13/2+3x)=2x+6 | | 2(1+x)=15-4x |