Loading web-font TeX/Math/Italic

(6x-7)(5x=4)=0

Simple and best practice solution for (6x-7)(5x=4)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (6x-7)(5x=4)=0 equation: 



(6x-7)(5x=4)=0

We move all terms to the left:

(6x-7)(5x-(4))=0

We multiply parentheses ..

(+30x^2-24x-35x+28)=0

We get rid of parentheses

30x^2-24x-35x+28=0

We add all the numbers together, and all the variables

30x^2-59x+28=0

a = 30; b = -59; c = +28;
Δ = b2-4ac
Δ = -592-4·30·28
Δ = 121
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{121}=11


x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-11}{2*30}=\frac{48}{60}
=4/5



x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+11}{2*30}=\frac{70}{60}
=1+1/6

See similar equations:

| 3x+4(x+6)=6x-4+x | | -3(3+m)=-9 | | 3m+2(m-4)=-2(m-2)-6 | | x/12+1/3=1/4 | | -(v-1)=-1 | | Y=45x^2-9x | | 3+9x=76 | | 0=-2/3(x)+5 | | 4x^2-100x+525=0 | | 2+2|3s|=12 | | x+21+2x=-4-2x+10 | | 2x-1=5x-3 | | 3m-6-6=8-m-8 | | 12.5=t/π | | 4x+4x+6=10x | | -3+5x=1+7x | | -7πh=98π | | 8-7x+11+4x+4x-5=9+4•3 | | 6n^2+40=-53n | | a/16=a | | 4(4x)=4(-6x+10x) | | 0.9x+0.6=-0.5 | | -34+9=-1/2x-3/4x+5/8x | | 4x/6x-15x/6x=10 | | 4(3+x)=18+2 | | y2+2.503y-1.733=0 | | 0=2(x^2)+10 | | 2(-x+8)=10 | | 45-(2c+3)=4(c+7)=c | | 14=z-(-12) | | b/1.5=0.8 | | 17-3x=12+12x |

Equations solver categories