If it's not what You are looking for type in the equation solver your own equation and let us solve it.
7x^2+6x-11=61-49x
We move all terms to the left:
7x^2+6x-11-(61-49x)=0
We add all the numbers together, and all the variables
7x^2+6x-(-49x+61)-11=0
We get rid of parentheses
7x^2+6x+49x-61-11=0
We add all the numbers together, and all the variables
7x^2+55x-72=0
a = 7; b = 55; c = -72;
Δ = b2-4ac
Δ = 552-4·7·(-72)
Δ = 5041
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{5041}=71$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(55)-71}{2*7}=\frac{-126}{14} =-9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+71}{2*7}=\frac{16}{14} =1+1/7 $
| (5n-5)(n-5)=0 | | -0.4(x-3.8)=-3 | | 10(9-z)=0 | | 1/2x+5=1/2(2-x) | | 0.15=x/100 | | 8x^2=-2+3 | | 7x-3=x+11+x+11 | | 9k(10k-1)=0 | | 1/3a-7=-1+3a | | 36*(40-x)=18*(40-x) | | 2a+a=4a-12 | | 36*40-x=18*40-x | | 36*x=18*x | | -20x^2+12x+8=0 | | 4d=24-2d | | 5x-6=6x-45 | | -25x^2-15x-2=0 | | -2x^2+220x-4800=0 | | 4,0x=40 | | -1x^2+1x+20=0 | | 6(3b-4)+8(2b-40)=140 | | 4m-4=10 | | 15x+14x=36x | | 4p^2+p-6=0 | | x+5/7-3x-8/6=4-x/42 | | 6x-17=4x | | 15d+26d+16d=200 | | 11c=20+6c | | 2r2+-3r-4=0 | | 6h=2=3h-13 | | 4b=18+b | | 5a=16+a |