If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5x(x+6)=-2x(x+6)+28
We move all terms to the left:
5x(x+6)-(-2x(x+6)+28)=0
We multiply parentheses
5x^2+30x-(-2x(x+6)+28)=0
We calculate terms in parentheses: -(-2x(x+6)+28), so:We get rid of parentheses
-2x(x+6)+28
We multiply parentheses
-2x^2-12x+28
Back to the equation:
-(-2x^2-12x+28)
5x^2+2x^2+12x+30x-28=0
We add all the numbers together, and all the variables
7x^2+42x-28=0
a = 7; b = 42; c = -28;
Δ = b2-4ac
Δ = 422-4·7·(-28)
Δ = 2548
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2548}=\sqrt{196*13}=\sqrt{196}*\sqrt{13}=14\sqrt{13}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-14\sqrt{13}}{2*7}=\frac{-42-14\sqrt{13}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+14\sqrt{13}}{2*7}=\frac{-42+14\sqrt{13}}{14} $
| 2r-3r+5=-4r-3r+5 | | N+7(2n)=82 | | -3(x-4)=-x+8 | | –7+9d=10d | | x+0.7=-2 | | 5x+4(x+5)=65 | | 15+12x=3(2x+1) | | 7(a+1)-3a=5+4(2a-1 | | 6=j-3 | | 3x2-60=0 | | -3x(x-4)=-x+8 | | -z+10=-2z | | 6+8(x+1)=-10 | | (x+4)*(2-15)=2x+4*2-390 | | -9x+1=−80 | | –10−n=9n | | 7(a+1)-3a=5a+4(2a-1) | | 2+4m=7m-(3m+6) | | 9=-5-7x+5x | | 4+8v+6=18 | | 7+q/3=5 | | 4+v/2=10 | | 10r=9-9r | | -5x-35=-2x=31 | | 5x-3=3×+7 | | 2x=10=-26 | | 26+2x=x+56 | | 4a=16¼ | | -14=5n+21 | | g/2-4=16 | | -14a=-8 | | -8-3t=-2t |