x2+7x=30

Simple and best practice solution for x2+7x=30 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 x2+7x=30 equation:



x2+7x=30
We move all terms to the left:
x2+7x-(30)=0
We add all the numbers together, and all the variables
x^2+7x-30=0
a = 1; b = 7; c = -30;
Δ = b2-4ac
Δ = 72-4·1·(-30)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-13}{2*1}=\frac{-20}{2} =-10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+13}{2*1}=\frac{6}{2} =3 $

See similar equations:

| 2-3x=5x-8 | | 4x2-30+45=0 | | 7+1.25(t)=43.25 | | 3x2-x+11=0 | | 5+2.5(d)=65 | | 6x+3÷5=2x-5 | | 2(0.5)+h=17 | | 2h+15=32 | | (2x+3)-(4x-5)=(6x+4)+(8x-7) | | 2.10(x)+5=49.10 | | n2-14n+45=0 | | 8x–2=14 | | 18q-2q2=0 | | 2x+4=3x+16 | | x-107/107x100=2.0 | | 4x+2-7=180 | | 3b-18/2=36 | | 7x-1=3x-119 | | 8(2z+7)-5(9)=-60 | | 7x-3(2x+7)=x-(3x+7)-4 | | 5y′+2y=0 | | 63=5p-17 | | 2x+5(4x-8)=180 | | 3x+1=3000 | | 10+5s/3=-s+6 | | 0,5m+6.4=4.9-0.1m | | 80-2x=32 | | 1/2x=-13/2 | | 6x-10+4-5=2x+3 | | 2t-5/t-2=7/3 | | 61-15=3x-8 | | 19c-7=9c-107 |

Equations solver categories