(x+5)(x+5)+9(x+5)+20=0

Simple and best practice solution for (x+5)(x+5)+9(x+5)+20=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 (x+5)(x+5)+9(x+5)+20=0 equation: 


Simplifying
(x + 5)(x + 5) + 9(x + 5) + 20 = 0

Reorder the terms:
(5 + x)(x + 5) + 9(x + 5) + 20 = 0

Reorder the terms:
(5 + x)(5 + x) + 9(x + 5) + 20 = 0

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + 9(x + 5) + 20 = 0
((5 * 5 + x * 5) + x(5 + x)) + 9(x + 5) + 20 = 0
((25 + 5x) + x(5 + x)) + 9(x + 5) + 20 = 0
(25 + 5x + (5 * x + x * x)) + 9(x + 5) + 20 = 0
(25 + 5x + (5x + x2)) + 9(x + 5) + 20 = 0

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + 9(x + 5) + 20 = 0

Reorder the terms:
25 + 10x + x2 + 9(5 + x) + 20 = 0
25 + 10x + x2 + (5 * 9 + x * 9) + 20 = 0
25 + 10x + x2 + (45 + 9x) + 20 = 0

Reorder the terms:
25 + 45 + 20 + 10x + 9x + x2 = 0

Combine like terms: 25 + 45 = 70
70 + 20 + 10x + 9x + x2 = 0

Combine like terms: 70 + 20 = 90
90 + 10x + 9x + x2 = 0

Combine like terms: 10x + 9x = 19x
90 + 19x + x2 = 0

Solving
90 + 19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(9 + x) = 0


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {-10, -9}

See similar equations:

| -7(x+6)=-91 | | 14x+9-34=8 | | 0.2x-0.4(3-x)=0.9 | | 3(4a+2)-4= | | -5(0.1x+0.2)-1.6=-0.1 | | 80n-36n=264 | | 6y-9=4y+16 | | x(2x-3x+9)= | | 6=4-2d | | 3-cosx+1=0 | | 6x^2+16x+24=0 | | x(5x-2)(7x-3)=x | | 3(4n+2)=-32 | | 4(x+2)-5=4x+6 | | x(5x-2)(7x-3)=xy | | 2*1+0.5= | | X*16.9=57.58 | | 3(2x+1)+2x=11 | | 19x-42=2 | | 3k(k)= | | 14.5+1X=50 | | y=2*x+0.5 | | 19x-44=0 | | Y+11.1=-4.8 | | (3x+4)2=37 | | 9d+45= | | X*17.9=57.58 | | 16t=1000 | | 13+5x=85 | | ax+3=5x+3 | | 17b=493 | | 7y-13+19y-18y= |

Equations solver categories