x^2+(5+x)(5+x)=(5-2x)(5+2x)

Simple and best practice solution for x^2+(5+x)(5+x)=(5-2x)(5+2x) 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^2+(5+x)(5+x)=(5-2x)(5+2x) equation: 


Simplifying
x2 + (5 + x)(5 + x) = (5 + -2x)(5 + 2x)

Multiply (5 + x) * (5 + x)
x2 + (5(5 + x) + x(5 + x)) = (5 + -2x)(5 + 2x)
x2 + ((5 * 5 + x * 5) + x(5 + x)) = (5 + -2x)(5 + 2x)
x2 + ((25 + 5x) + x(5 + x)) = (5 + -2x)(5 + 2x)
x2 + (25 + 5x + (5 * x + x * x)) = (5 + -2x)(5 + 2x)
x2 + (25 + 5x + (5x + x2)) = (5 + -2x)(5 + 2x)

Combine like terms: 5x + 5x = 10x
x2 + (25 + 10x + x2) = (5 + -2x)(5 + 2x)

Reorder the terms:
25 + 10x + x2 + x2 = (5 + -2x)(5 + 2x)

Combine like terms: x2 + x2 = 2x2
25 + 10x + 2x2 = (5 + -2x)(5 + 2x)

Multiply (5 + -2x) * (5 + 2x)
25 + 10x + 2x2 = (5(5 + 2x) + -2x * (5 + 2x))
25 + 10x + 2x2 = ((5 * 5 + 2x * 5) + -2x * (5 + 2x))
25 + 10x + 2x2 = ((25 + 10x) + -2x * (5 + 2x))
25 + 10x + 2x2 = (25 + 10x + (5 * -2x + 2x * -2x))
25 + 10x + 2x2 = (25 + 10x + (-10x + -4x2))

Combine like terms: 10x + -10x = 0
25 + 10x + 2x2 = (25 + 0 + -4x2)
25 + 10x + 2x2 = (25 + -4x2)

Add '-25' to each side of the equation.
25 + 10x + -25 + 2x2 = 25 + -25 + -4x2

Reorder the terms:
25 + -25 + 10x + 2x2 = 25 + -25 + -4x2

Combine like terms: 25 + -25 = 0
0 + 10x + 2x2 = 25 + -25 + -4x2
10x + 2x2 = 25 + -25 + -4x2

Combine like terms: 25 + -25 = 0
10x + 2x2 = 0 + -4x2
10x + 2x2 = -4x2

Solving
10x + 2x2 = -4x2

Solving for variable 'x'.

Combine like terms: 2x2 + 4x2 = 6x2
10x + 6x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
10x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + 3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {0, -1.666666667}

See similar equations:

| 9a-2=5(2a+4) | | 50+90x=-37 | | 3(2x-4)=13-5 | | 5p=-75 | | 3x^3+27x^2+42x=0 | | 4x-2=6(x-3) | | (2a+3b)*(5a-b)= | | -j*2=-62 | | 7-2y=y-11 | | 4x=2-6(x-3) | | 3(3x+5)(-5x+1)=0 | | .1(x+10)+.1x=2 | | 5x-3(2-5x)=20 | | 3x^3+9x-54x=0 | | 3x^3+9x-54=0 | | -5=n-2 | | x^2+8x+16=1.78 | | 5x-3(x-5)=20 | | 5=100 | | 152=w*(-4) | | 600+32s=1400 | | 7x^2+8x-2=0 | | -y+1=0 | | -20q=120 | | 5=-9+v | | 7y+12=8 | | 4x^2+24x+20=0 | | 60n+120+60n-60=120 | | 3x-5x=12-6 | | 5x-8x+12=x | | -2x^2+4x+30=0 | | 6(5y-3)=12y |

Equations solver categories