14x-21=(x+2)(x+2)

Simple and best practice solution for 14x-21=(x+2)(x+2) 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 14x-21=(x+2)(x+2) equation: 


Simplifying
14x + -21 = (x + 2)(x + 2)

Reorder the terms:
-21 + 14x = (x + 2)(x + 2)

Reorder the terms:
-21 + 14x = (2 + x)(x + 2)

Reorder the terms:
-21 + 14x = (2 + x)(2 + x)

Multiply (2 + x) * (2 + x)
-21 + 14x = (2(2 + x) + x(2 + x))
-21 + 14x = ((2 * 2 + x * 2) + x(2 + x))
-21 + 14x = ((4 + 2x) + x(2 + x))
-21 + 14x = (4 + 2x + (2 * x + x * x))
-21 + 14x = (4 + 2x + (2x + x2))

Combine like terms: 2x + 2x = 4x
-21 + 14x = (4 + 4x + x2)

Solving
-21 + 14x = 4 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
-21 + -4 + 14x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: -21 + -4 = -25
-25 + 14x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: 14x + -4x = 10x
-25 + 10x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Reorder the terms:
-25 + 10x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-25 + 10x + -1x2 = 0 + 4x + -4x + x2 + -1x2
-25 + 10x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-25 + 10x + -1x2 = 0 + x2 + -1x2
-25 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + 10x + -1x2 = 0

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


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

Simplifying
-5 + x = 0

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

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

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

Simplifying
x = 5

Subproblem 2
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
Solution
x = {5, 5}

See similar equations:

| T=L(8+RS) | | X+-12=0.2x | | 20r^3t^7/5t^5 | | 49-3x=13-7x | | 2(x-4)+x=3(x-7)+13 | | 8(x-2)+8=8x+7 | | 4/9(z-18)-30=6 | | 4y+33=-3(y-4) | | (x-32)/(x*1.8) | | 0.6x-3=2.2x-19 | | 6x-2x+6=2x-34 | | 304-256= | | 2n+n=4n+5 | | 10+10x=10+x | | 5x+4(x-8)=4(x+2)-2 | | 16y+32=14y+16 | | 16y+31=14y+16 | | 3(x+4)-4x=-1(x+1)+4 | | f(x)=-7x^2+3x+5 | | V=1/3*3.14*7^2h | | x-5.7=12.74 | | 2x/(1-x)=7 | | -x+2x=-4 | | h=1/3-3.14-7^2 | | 30=17+3y | | xy^3+3x^2y-7= | | 70=2*13.3+2*x | | 4x+2=2x+50 | | 5x(x-2)=32 | | 3y-11=24 | | 10x-2y=26 | | (4/y)=(2/9) |

Equations solver categories