(2x+14)(2x+11)-208=0

Simple and best practice solution for (2x+14)(2x+11)-208=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 (2x+14)(2x+11)-208=0 equation: 


Simplifying
(2x + 14)(2x + 11) + -208 = 0

Reorder the terms:
(14 + 2x)(2x + 11) + -208 = 0

Reorder the terms:
(14 + 2x)(11 + 2x) + -208 = 0

Multiply (14 + 2x) * (11 + 2x)
(14(11 + 2x) + 2x * (11 + 2x)) + -208 = 0
((11 * 14 + 2x * 14) + 2x * (11 + 2x)) + -208 = 0
((154 + 28x) + 2x * (11 + 2x)) + -208 = 0
(154 + 28x + (11 * 2x + 2x * 2x)) + -208 = 0
(154 + 28x + (22x + 4x2)) + -208 = 0

Combine like terms: 28x + 22x = 50x
(154 + 50x + 4x2) + -208 = 0

Reorder the terms:
154 + -208 + 50x + 4x2 = 0

Combine like terms: 154 + -208 = -54
-54 + 50x + 4x2 = 0

Solving
-54 + 50x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + 25x + 2x2) = 0

Factor a trinomial.
2((-27 + -2x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-27 + -2x)' equal to zero and attempt to solve:

Simplifying
-27 + -2x = 0

Solving
-27 + -2x = 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 + -2x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2x = 0 + 27
-2x = 0 + 27

Combine like terms: 0 + 27 = 27
-2x = 27

Divide each side by '-2'.
x = -13.5

Simplifying
x = -13.5

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 = {-13.5, 1}

See similar equations:

| 4(2x-5)=(2x)2+3(x+2) | | 370x-2100=x^2 | | 300x-200x-1500=0y | | 3(-1.5)+7=-1.5+1 | | 2x^4-21x^3+x^2+329x+49=0 | | 49h^2+26h+0=0 | | x+(30+x)+(-34+4*x)=650 | | 18+483=21+462 | | 14(2/3)^2 | | 12(2/3)^3/3 | | x+(14+x)+(-16+2*x)=406 | | x+(14x)+(-16+2*x)=406 | | -4/10 | | 4/2k-(2.1k-7.5)=28.6 | | (20x-13)+(11x-1)+(151)=180 | | 4x-3y+20=0 | | 7(2a+5b)+5(4a+b)= | | 90x+2160=x^2+48x | | (20x-13)+(11x-1)=151 | | 2x=3x+2+4x+1 | | (7x+5)+(3x-5)+(90)=180 | | (m^3n)^-8/m^-10n^6 | | 2k-2.1k+7.5=28.6 | | x^2+27x+29=0 | | (10x-11)+(3x+1)+(3x-2)=180 | | 1x+2=5x-7 | | -8/14= | | 300x-200x-1500=y | | (8+3i)(7-2i)= | | 41/2-23/4=13/4 | | 300x-200x=y+1500 | | z=y+12fory |

Equations solver categories