7x(x-3)=63

Simple and best practice solution for 7x(x-3)=63 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 7x(x-3)=63 equation: 


Simplifying
7x(x + -3) = 63

Reorder the terms:
7x(-3 + x) = 63
(-3 * 7x + x * 7x) = 63
(-21x + 7x2) = 63

Solving
-21x + 7x2 = 63

Solving for variable 'x'.

Reorder the terms:
-63 + -21x + 7x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -21x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-9 + -3x + x2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-9 + -3x + x2)' equal to zero and attempt to solve:

Simplifying
-9 + -3x + x2 = 0

Solving
-9 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -3x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + -3x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -3x + x2 = 0 + 9
-3x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-3x + x2 = 9

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 9 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 9 + 2.25

Combine like terms: 9 + 2.25 = 11.25
2.25 + -3x + x2 = 11.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3.354101966 and -3.354101966.


Subproblem 1
x + -1.5 = 3.354101966

Simplifying
x + -1.5 = 3.354101966

Reorder the terms:
-1.5 + x = 3.354101966

Solving
-1.5 + x = 3.354101966

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 3.354101966 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 3.354101966 + 1.5
x = 3.354101966 + 1.5

Combine like terms: 3.354101966 + 1.5 = 4.854101966
x = 4.854101966

Simplifying
x = 4.854101966


Subproblem 2
x + -1.5 = -3.354101966

Simplifying
x + -1.5 = -3.354101966

Reorder the terms:
-1.5 + x = -3.354101966

Solving
-1.5 + x = -3.354101966

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = -3.354101966 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -3.354101966 + 1.5
x = -3.354101966 + 1.5

Combine like terms: -3.354101966 + 1.5 = -1.854101966
x = -1.854101966

Simplifying
x = -1.854101966


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.854101966, -1.854101966}
Solution
x = {4.854101966, -1.854101966}

See similar equations:

| 3(3+2)=36 | | 22x+4-10x=14+2x | | 3z/2-17/3=2z/3-32 | | 25=13-10-x | | 13z/6-17/3=-3/2 | | 5(5x+2)=-4(4x-4) | | 4/3b-11=-25 | | 3(x-3)+2(x-4)=5(x-2)-7 | | 60xy^2-25yx^2=0 | | ln(y-3)=2 | | 8v+32p= | | -13-2x=-6x+11 | | 465-15x=13x+17 | | (2x-2)/((2x^2)-50)=0 | | 13v+13=41-v | | 3r-6v= | | 3x+8=-33 | | 5k+3=20k-57 | | (2x-2)/((2x^2)-50) | | 2(3x-4)=-10x | | x^2-5x^2=0 | | 2.22logx=1.5x | | -2x+10y=-4 | | 30=-3(2g-4)+2 | | x^2+2mx+6-5m^2=0 | | a*3+5=11 | | x^2+8y=123 | | 2b-(1b)=11-b | | X^2+14x=544 | | -2(4-5x)=3(4x+3) | | f(x)=2xb+x^2+3(4x)+17 | | f(x)=2xb+x^2+3(4x)+17*7 |

Equations solver categories