(6x+5)(2x-3)=0

Simple and best practice solution for (6x+5)(2x-3)=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+5)(2x-3)=0 equation:



(6x+5)(2x-3)=0
We multiply parentheses ..
(+12x^2-18x+10x-15)=0
We get rid of parentheses
12x^2-18x+10x-15=0
We add all the numbers together, and all the variables
12x^2-8x-15=0
a = 12; b = -8; c = -15;
Δ = b2-4ac
Δ = -82-4·12·(-15)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-28}{2*12}=\frac{-20}{24} =-5/6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+28}{2*12}=\frac{36}{24} =1+1/2 $

See similar equations:

| 0.3y=0.09 | | a=97=168 | | 3(2x-7)=29 | | 12x2-3x+14=0 | | -n-7=(-5) | | 19x2+11x-15=0 | | 8x2-19x-9=0 | | 7x2-15x+18=0 | | 20x2-14x+14=0 | | 10x2-16x-12=0 | | y=32.8(359.2) | | 10x2-17x-19=0 | | 2x2-17x-12=0 | | 9x2-12x+18=0 | | 11x2+12x-11=0 | | 16x2-4x+17=0 | | 16x2-17x-1=0 | | 12x2-4x-3=0 | | 19x2-16x-19=0 | | 17/89=19/x | | (39-x)/9=4 | | x+3/2x-7-2x-1/x-3=0 | | 4y+3=367 | | x+1/x+x-5/3x=2x+9/4x | | 1/2k+4/k=k/k+2 | | 8-x=5x-40 | | 8-5x=-40-x | | x(x-10)=10 | | 3d*4=9 | | 31-6h=43 | | .x-58=42 | | 45+10r=68 |

Equations solver categories