12x(x+7)=441

Simple and best practice solution for 12x(x+7)=441 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 12x(x+7)=441 equation: 


Simplifying
12x(x + 7) = 441

Reorder the terms:
12x(7 + x) = 441
(7 * 12x + x * 12x) = 441
(84x + 12x2) = 441

Solving
84x + 12x2 = 441

Solving for variable 'x'.

Reorder the terms:
-441 + 84x + 12x2 = 441 + -441

Combine like terms: 441 + -441 = 0
-441 + 84x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-147 + 28x + 4x2) = 0

Factor a trinomial.
3((-21 + -2x)(7 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve:

Simplifying
-21 + -2x = 0

Solving
-21 + -2x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -2x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 0 + 21
-2x = 0 + 21

Combine like terms: 0 + 21 = 21
-2x = 21

Divide each side by '-2'.
x = -10.5

Simplifying
x = -10.5

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 = {-10.5, 3.5}

See similar equations:

| -6b+1+4b=3b+6 | | 18t-5(3t-9)=0 | | 18t-5(3t-9)= | | 3n^2+16n+13=0 | | 4x^2+40x=-91 | | 25x^2-20x=1 | | 4(x+2)=2x+38 | | A+a+b+b=45 | | 3(x-2)+5=4(x-1) | | -8x^3-2x^2-43x+30=0 | | 2a+2b=45 | | X^2-10X+3=-6-4X | | 2s+2f=45 | | 5x+y=-7 | | 420=2(4w)+2w | | 4x^2-40x=-91 | | 5x(7x-3x)=16x+15 | | lx+2l=5 | | a-43=17 | | x+x+4=118 | | 3xy+xy-4x+x=18 | | u/6=-25 | | 12x+7x=34 | | f-5=-39 | | x^2-12x+27= | | x^2+10x+31= | | y-1=3(x-(-3)) | | y-1=-3(x-(-3)) | | 10*x^2-3*x-1=0 | | p/5=-3 | | 6x^2-25x=0 | | 5(c-3)+4=2+c-13 |

Equations solver categories