If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(3x+1)(5x-2)=(6x+2)(1-x)
We move all terms to the left:
(3x+1)(5x-2)-((6x+2)(1-x))=0
We add all the numbers together, and all the variables
(3x+1)(5x-2)-((6x+2)(-1x+1))=0
We multiply parentheses ..
(+15x^2-6x+5x-2)-((6x+2)(-1x+1))=0
We calculate terms in parentheses: -((6x+2)(-1x+1)), so:We get rid of parentheses
(6x+2)(-1x+1)
We multiply parentheses ..
(-6x^2+6x-2x+2)
We get rid of parentheses
-6x^2+6x-2x+2
We add all the numbers together, and all the variables
-6x^2+4x+2
Back to the equation:
-(-6x^2+4x+2)
15x^2+6x^2-6x+5x-4x-2-2=0
We add all the numbers together, and all the variables
21x^2-5x-4=0
a = 21; b = -5; c = -4;
Δ = b2-4ac
Δ = -52-4·21·(-4)
Δ = 361
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{361}=19$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-19}{2*21}=\frac{-14}{42} =-1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+19}{2*21}=\frac{24}{42} =4/7 $
| -42=6(a-6) | | 5x+8x=11x-6 | | 40=5(a+9) | | 36=4(a+9) | | 6x-48=78 | | 30=5(a+5) | | 7(a+10)=-77 | | X+2*3=x+5*2 | | 2(a-3)=-24 | | 5(a-9)=-15 | | x=17-2x | | 3a+9=-24 | | 9a+4=103 | | 12−x2+x=0 | | 18+3x=2x | | (1/x+1)+(2/x-1)=0 | | x/10-6=-1 | | 5x-12+3x+15+4x+9=180 | | 9x+3÷x-1=12 | | 5x+1-1=16-1 | | x/3x+2=5x/2x+1 | | |3x−4(x+1)|=2 | | (3x+1)(5x+2)=(6x+2)(1-x) | | y2+2y−35=(y+7) | | y2+2y−35=(y+7)() | | 3(2x+1/5=2x+5 | | x+.10x+.25x=8000 | | 7a+3=3a-17 | | 3x/x=2x | | x/8=8=-5 | | 5(5y-2)=40 | | 12p^2=4p6 |