5x-7=3/2x+15

Simple and best practice solution for 5x-7=3/2x+15 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 5x-7=3/2x+15 equation:



5x-7=3/2x+15
We move all terms to the left:
5x-7-(3/2x+15)=0
Domain of the equation: 2x+15)!=0
x∈R
We get rid of parentheses
5x-3/2x-15-7=0
We multiply all the terms by the denominator
5x*2x-15*2x-7*2x-3=0
Wy multiply elements
10x^2-30x-14x-3=0
We add all the numbers together, and all the variables
10x^2-44x-3=0
a = 10; b = -44; c = -3;
Δ = b2-4ac
Δ = -442-4·10·(-3)
Δ = 2056
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:
$\sqrt{\Delta}=\sqrt{2056}=\sqrt{4*514}=\sqrt{4}*\sqrt{514}=2\sqrt{514}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-2\sqrt{514}}{2*10}=\frac{44-2\sqrt{514}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+2\sqrt{514}}{2*10}=\frac{44+2\sqrt{514}}{20} $

See similar equations:

| 5x-7=3/2x=30 | | 10x-14=3x+15 | | 11-5n=3n+3 | | 12x+8-6+2x=12x+9+1 | | 5x-30°=x | | 6p=0.6(5p+12) | | y=1.43^.07 | | 2x2+x–105=0 | | x^2/2+x=60 | | 29x-3-15x+7=180 | | (x+5)(x-3)=105 | | 3-2/5-x-2/10=5x+2/2-1/5 | | 3y^+7y+1=0 | | n×(n+1)=110 | | 7^2x-2=45 | | 10x/3=120 | | 7x/3=120 | | 7/3x=120 | | 5/2x11/2=9/2 | | 2x+7÷3-3x+5÷7+20=30-3x÷5 | | 3x2+2x=12+-7x | | x^2+8x=9x | | I=5+7i,Z=6+4i | | 42x^2-48x+12=0 | | 2.2=7.9+y | | -13/7g=2 | | 7x+6=7(x+2) | | Y=e²* | | 2/9p+7=1/4p | | 2.5^x-5=10.625= | | 〖2.5〗^x-5=10.625= | | 2.5^x-5=10.625= |

Equations solver categories