1/2x+1/2x+(x-25)+100-15=540

Simple and best practice solution for 1/2x+1/2x+(x-25)+100-15=540 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 1/2x+1/2x+(x-25)+100-15=540 equation:



1/2x+1/2x+(x-25)+100-15=540
We move all terms to the left:
1/2x+1/2x+(x-25)+100-15-(540)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
1/2x+1/2x+(x-25)-455=0
We get rid of parentheses
1/2x+1/2x+x-25-455=0
We multiply all the terms by the denominator
x*2x-25*2x-455*2x+1+1=0
We add all the numbers together, and all the variables
x*2x-25*2x-455*2x+2=0
Wy multiply elements
2x^2-50x-910x+2=0
We add all the numbers together, and all the variables
2x^2-960x+2=0
a = 2; b = -960; c = +2;
Δ = b2-4ac
Δ = -9602-4·2·2
Δ = 921584
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:
$\sqrt{\Delta}=\sqrt{921584}=\sqrt{16*57599}=\sqrt{16}*\sqrt{57599}=4\sqrt{57599}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-960)-4\sqrt{57599}}{2*2}=\frac{960-4\sqrt{57599}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-960)+4\sqrt{57599}}{2*2}=\frac{960+4\sqrt{57599}}{4} $

See similar equations:

| 4y-4=-2y-28 | | 6x/2+8x=154 | | 3/4x-2=22 | | 5x^2-38x+15=0 | | 7(3r-1)-(r+5)=-56 | | 5+z=-1z-11 | | 4y-4=-27-28 | | 209=11x+13(19-x) | | .5r-8=-16 | | m-8=8-8m+7m | | y=16-X^4 | | 48/6x=8 | | p/11=11 | | 5+z=-4z+32-11 | | -3x+10=5x-8,x | | 4(x+2)=9x+8-5x | | z2+4z−12z−2−z−5z+3=2 | | 4x2–28x=–11 | | 5x-12-10=18+17x | | 310=p-0.30p | | 39-8n=-8n=-8(3+4n)+3n | | −​4/1​​a−4=​4/​7a−3 | | -10x+20=-5(2x+4) | | x-2(2)+6=0 | | -6-8p=-14-9p | | 6(3n+4)=7(7n+2)+2 | | 4/7x-19/30=-3/7x-5/6 | | (5x)/(4)=(4x)/(3)+3 | | 50(x+4)=100 | | 4-(5x-1)(2x+3)=17-(10x+2)(x+6) | | 0.3(20)+0.25X=0.1(20)+0.3x | | 7w=19+6w |

Equations solver categories