(14+2x)(20+2x)=952

Simple and best practice solution for (14+2x)(20+2x)=952 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 (14+2x)(20+2x)=952 equation: 


Simplifying
(14 + 2x)(20 + 2x) = 952

Multiply (14 + 2x) * (20 + 2x)
(14(20 + 2x) + 2x * (20 + 2x)) = 952
((20 * 14 + 2x * 14) + 2x * (20 + 2x)) = 952
((280 + 28x) + 2x * (20 + 2x)) = 952
(280 + 28x + (20 * 2x + 2x * 2x)) = 952
(280 + 28x + (40x + 4x2)) = 952

Combine like terms: 28x + 40x = 68x
(280 + 68x + 4x2) = 952

Solving
280 + 68x + 4x2 = 952

Solving for variable 'x'.

Reorder the terms:
280 + -952 + 68x + 4x2 = 952 + -952

Combine like terms: 280 + -952 = -672
-672 + 68x + 4x2 = 952 + -952

Combine like terms: 952 + -952 = 0
-672 + 68x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-168 + 17x + x2) = 0

Factor a trinomial.
4((-24 + -1x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-24, 7}

See similar equations:

| 0.5x=30 | | 5-8x=97-36x | | 37=y-42 | | 6x+244=15x-8 | | 4(x+y)=20+2x | | 6(x+6)=5(x-7) | | 4x+13x-75=0 | | 66-4x=14x+18 | | 19x^2-95x-266=0 | | 7x^2+48x=-36 | | 2w^2+3w-54=0 | | 3y-24=12x | | n^2-22n+102=0 | | (x-6)x=112 | | 3(5(4))-7= | | -5x^2+20X=13 | | 5x+10=20y | | (x-3)x=208 | | c^2+3c-54=0 | | 2y=14x-12 | | 0.42y=1.26 | | 9x+4=67 | | 60=10x | | 69-8x=59 | | 2L+2W-42=0 | | 4y+y=9 | | 8x-69=59 | | 10q^2+10=29g | | n+(n+2)+(n+4)=42 | | -2x^2+6=0 | | 5x+7=-5x+23 | | 10q^210=29g |

Equations solver categories