(2x+4)(2x+4)=36

Simple and best practice solution for (2x+4)(2x+4)=36 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 (2x+4)(2x+4)=36 equation: 


Simplifying
(2x + 4)(2x + 4) = 36

Reorder the terms:
(4 + 2x)(2x + 4) = 36

Reorder the terms:
(4 + 2x)(4 + 2x) = 36

Multiply (4 + 2x) * (4 + 2x)
(4(4 + 2x) + 2x * (4 + 2x)) = 36
((4 * 4 + 2x * 4) + 2x * (4 + 2x)) = 36
((16 + 8x) + 2x * (4 + 2x)) = 36
(16 + 8x + (4 * 2x + 2x * 2x)) = 36
(16 + 8x + (8x + 4x2)) = 36

Combine like terms: 8x + 8x = 16x
(16 + 16x + 4x2) = 36

Solving
16 + 16x + 4x2 = 36

Solving for variable 'x'.

Reorder the terms:
16 + -36 + 16x + 4x2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + 16x + 4x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + 16x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 4x + x2) = 0

Factor a trinomial.
4((-5 + -1x)(1 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-5, 1}

See similar equations:

| x^2*3x-5=175 | | 4x+4=-6x-5 | | 20p-4-12p+5q+2q= | | 108-20+4x= | | y+16=225 | | 3(3X+2)=29 | | x^4-4x^2+7=0 | | 4x+8=3x+2 | | 14y-98+18y=4y-30 | | 1.4+8.4+7=20 | | -12b-7+5b=2 | | 3(2x-6)=2(4x-12) | | 5(2v+3)-7v=21 | | 3(3y-4)=-2(3y-9) | | 3=4(x+2) | | -4x-3-9x=10 | | -2(5-4x)=14 | | 5(x-9)=-2 | | 72h+(120+78h)=894 | | 4(3x-5)=4 | | 5a-3(a-5)= | | (h-1)(h+5)=0 | | 2(s-18)=5 | | 7x-2=7(x-4) | | -5(4x+8)=13 | | 12n+36=36+12n | | 1.1x^2-0.88x=0.528 | | 20y^2+5y=9 | | 6(2x+3)=9 | | 13+9s=-8 | | 0.5t^2+3t=0 | | 9d+d+5d+4=3d |

Equations solver categories