550=(32+2x)(29+2x)

Simple and best practice solution for 550=(32+2x)(29+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 550=(32+2x)(29+2x) equation: 


Simplifying
550 = (32 + 2x)(29 + 2x)

Multiply (32 + 2x) * (29 + 2x)
550 = (32(29 + 2x) + 2x * (29 + 2x))
550 = ((29 * 32 + 2x * 32) + 2x * (29 + 2x))
550 = ((928 + 64x) + 2x * (29 + 2x))
550 = (928 + 64x + (29 * 2x + 2x * 2x))
550 = (928 + 64x + (58x + 4x2))

Combine like terms: 64x + 58x = 122x
550 = (928 + 122x + 4x2)

Solving
550 = 928 + 122x + 4x2

Solving for variable 'x'.

Combine like terms: 550 + -928 = -378
-378 + -122x + -4x2 = 928 + 122x + 4x2 + -928 + -122x + -4x2

Reorder the terms:
-378 + -122x + -4x2 = 928 + -928 + 122x + -122x + 4x2 + -4x2

Combine like terms: 928 + -928 = 0
-378 + -122x + -4x2 = 0 + 122x + -122x + 4x2 + -4x2
-378 + -122x + -4x2 = 122x + -122x + 4x2 + -4x2

Combine like terms: 122x + -122x = 0
-378 + -122x + -4x2 = 0 + 4x2 + -4x2
-378 + -122x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-378 + -122x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(189 + 61x + 2x2) = 0

Factor a trinomial.
-2((27 + x)(7 + 2x)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(27 + x)' equal to zero and attempt to solve:

Simplifying
27 + x = 0

Solving
27 + x = 0

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

Add '-27' to each side of the equation.
27 + -27 + x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + x = 0 + -27
x = 0 + -27

Combine like terms: 0 + -27 = -27
x = -27

Simplifying
x = -27

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {-27, -3.5}

See similar equations:

| 2x+3=3x+21 | | 7x-4x+2x-9x= | | 5x-86=82-12x | | 2r+4=20 | | 2(x-3)-4(x+5)=2x-16 | | m=3p-4t | | 75h+100=625 | | -(7+5k)-3(3k+5)=-36 | | -x-3y+3=0 | | 6x-35=9+4x | | 3x+2=x+2(x-1)+4 | | (2x-1)(x+6)=24 | | 5(5t-2-2)=-35 | | 36x+8x=1x+76 | | 6(1-6x)-4(-1-x)=10 | | 10/16+17/16q=12/16+3/16q | | r/3=9 | | 36x+8x=1x+72 | | -4x-5=-(x-4) | | -4(3x+2)=x+2(x-1) | | 8(5x-6)=152 | | 2x=8+y | | -18+12x=10x+14 | | -8=-(4)+4 | | =x^4-4x^3+3x^2-4x+2 | | 11.95x+4.95=64.70 | | 7=m/2 | | 11-8x=75-36x | | 8p^2-2p+15=0 | | -2x+y=-8 | | 4n-1=-29 | | 0.5y=-6 |

Equations solver categories