4x(x-7)=48

Simple and best practice solution for 4x(x-7)=48 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 4x(x-7)=48 equation: 


Simplifying
4x(x + -7) = 48

Reorder the terms:
4x(-7 + x) = 48
(-7 * 4x + x * 4x) = 48
(-28x + 4x2) = 48

Solving
-28x + 4x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + -28x + 4x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -28x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -7x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-12 + -7x + x2)' equal to zero and attempt to solve:

Simplifying
-12 + -7x + x2 = 0

Solving
-12 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -7x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -7x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7x + x2 = 0 + 12
-7x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-7x + x2 = 12

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 = 12 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 12 + 12.25

Combine like terms: 12 + 12.25 = 24.25
12.25 + -7x + x2 = 24.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
x + -3.5 = 4.924428901

Simplifying
x + -3.5 = 4.924428901

Reorder the terms:
-3.5 + x = 4.924428901

Solving
-3.5 + x = 4.924428901

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 = 4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.924428901 + 3.5
x = 4.924428901 + 3.5

Combine like terms: 4.924428901 + 3.5 = 8.424428901
x = 8.424428901

Simplifying
x = 8.424428901


Subproblem 2
x + -3.5 = -4.924428901

Simplifying
x + -3.5 = -4.924428901

Reorder the terms:
-3.5 + x = -4.924428901

Solving
-3.5 + x = -4.924428901

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 = -4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.924428901 + 3.5
x = -4.924428901 + 3.5

Combine like terms: -4.924428901 + 3.5 = -1.424428901
x = -1.424428901

Simplifying
x = -1.424428901


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.424428901, -1.424428901}
Solution
x = {8.424428901, -1.424428901}

See similar equations:

| s(t)=96t-16t^2+112 | | 2x=154 | | -16=25/9(13)+b | | X+y=154 | | w^2+40w-6000=0 | | x/11=3 | | 6n+1=-23 | | 81+162x^2+81x^4=0 | | -4x^2=x+1 | | 2w+7=-1 | | 10x+7y=15 | | -5(3t-3)+9t=2t-6 | | 7x^2+5x=-7 | | 3x-1y=8 | | 5x-10+12x+3= | | -14-3y-6=-14 | | -3(5x-7)+6=-15+27 | | -6w=-36 | | h(t)=-16t^2+100t+8 | | x+.50=.75 | | 7(2x-7)=14x-49 | | y=25/9(13)+27.1 | | 9=25/9(13)+b | | -6.6=2.8+2x | | x+0.001=1.222 | | y=5/2(-11)+14.5 | | 14=x^2-13x+44 | | 4b-7=13+4b | | -13=5/2(-11)+b | | 0.50x+0.15(70)=22.5 | | 3x^2+6x+6=30 | | 3(x+4)-12x(x-2)= |

Equations solver categories