3x(x-7)=3

Simple and best practice solution for 3x(x-7)=3 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 3x(x-7)=3 equation: 


Simplifying
3x(x + -7) = 3

Reorder the terms:
3x(-7 + x) = 3
(-7 * 3x + x * 3x) = 3
(-21x + 3x2) = 3

Solving
-21x + 3x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + -21x + 3x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -21x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -7x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + -7x + x2)' equal to zero and attempt to solve:

Simplifying
-1 + -7x + x2 = 0

Solving
-1 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -7x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -7x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7x + x2 = 0 + 1
-7x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-7x + x2 = 1

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 1 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 1 + 12.25

Combine like terms: 1 + 12.25 = 13.25
12.25 + -7x + x2 = 13.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 13.25

Calculate the square root of the right side: 3.640054945

Break this problem into two subproblems by setting 
(x + -3.5) equal to 3.640054945 and -3.640054945.


Subproblem 1
x + -3.5 = 3.640054945

Simplifying
x + -3.5 = 3.640054945

Reorder the terms:
-3.5 + x = 3.640054945

Solving
-3.5 + x = 3.640054945

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 3.640054945 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 3.640054945 + 3.5
x = 3.640054945 + 3.5

Combine like terms: 3.640054945 + 3.5 = 7.140054945
x = 7.140054945

Simplifying
x = 7.140054945


Subproblem 2
x + -3.5 = -3.640054945

Simplifying
x + -3.5 = -3.640054945

Reorder the terms:
-3.5 + x = -3.640054945

Solving
-3.5 + x = -3.640054945

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -3.640054945 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -3.640054945 + 3.5
x = -3.640054945 + 3.5

Combine like terms: -3.640054945 + 3.5 = -0.140054945
x = -0.140054945

Simplifying
x = -0.140054945


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.140054945, -0.140054945}
Solution
x = {7.140054945, -0.140054945}

See similar equations:

| 4x-7+5(x-3)=2x-1 | | 15y-x=2(x+3) | | 6(2x-5)=-1(x+4) | | 2(2x+4)=36-6x | | 2ln(4x)=6 | | 30x^2-27x-27=0 | | 0.06+0.06x=-0.042 | | 8(x+1)-7x=-6 | | a-3=x^2-5 | | 9+(4x)=1-(2x) | | 4x-8x=x+3 | | 3(x-4)=2(2x-1) | | x^12-7x^6-8=0 | | r-5y=6k+ar | | S=4n+aw | | (sqrt)(x+3)+(sqrt)(3x+7)=2 | | .5(x-5)=.33(2x-1) | | 0x+16y=#8722;1 | | -13x+12=-12(x-1) | | 2y-5-x=0 | | 2(x+4)-8=-5(x-7)+21 | | 20x^2-12x-32=0 | | 15b-4b=220 | | 4(x+5)-20=-3(x-7)+28 | | 2x^4-25x^2=0 | | 5x^2+x=16x | | y=64x^3+80x^2+25x | | log(x+2)=1.732 | | x+4(.25x)=8 | | 2+0y=10-3y+4y | | 2(5x+10)=10(2x+1) | | 10+6v=-104 |

Equations solver categories