(x+5)*(x+2)=54

Simple and best practice solution for (x+5)*(x+2)=54 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 (x+5)*(x+2)=54 equation:



(x+5)(x+2)=54
We move all terms to the left:
(x+5)(x+2)-(54)=0
We multiply parentheses ..
(+x^2+2x+5x+10)-54=0
We get rid of parentheses
x^2+2x+5x+10-54=0
We add all the numbers together, and all the variables
x^2+7x-44=0
a = 1; b = 7; c = -44;
Δ = b2-4ac
Δ = 72-4·1·(-44)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-15}{2*1}=\frac{-22}{2} =-11 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+15}{2*1}=\frac{8}{2} =4 $

See similar equations:

| 2x-45=x-22 | | 3(1-3g)=g-7 | | -3x+15=-3x+-15 | | 3x-17=x-61 | | F(x)=3(4)+20 | | X+14=50-2x-32+8 | | 2x+15=3x-3+9 | | -7*x+3=6*x+4 | | 4x=25/9 | | 13m-1/10=5m-3/4 | | x+2+3x=42 | | 432=-2d+6 | | 5×x=45 | | 5(w+4)=2w-1 | | -(13x)=7 | | 6/w-6=w/w-6+4 | | 3x+8=3x-11 | | -6y+22=-7y+14 | | 1(0.5m+6)=2 | | 5n=125n | | +8a=9a-5 | | 0.01^x=5000 | | 3/5e-6=2/5(e-10) | | 2/y+5-3=5/y+5 | | -5x-9=-5(x+3 | | –14=y–2+ –12 | | x-2/5=-1/5 | | x/2.5x=1281407 | | -v/2=-55 | | -7.3=v/5+5.2 | | H(x)=-4x-4 | | 14x-7=5+1-x |

Equations solver categories