7x(16-4x)=-28x

Simple and best practice solution for 7x(16-4x)=-28x 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(16-4x)=-28x equation: 


Simplifying
7x(16 + -4x) = -28x
(16 * 7x + -4x * 7x) = -28x
(112x + -28x2) = -28x

Solving
112x + -28x2 = -28x

Solving for variable 'x'.

Reorder the terms:
112x + 28x + -28x2 = -28x + 28x

Combine like terms: 112x + 28x = 140x
140x + -28x2 = -28x + 28x

Combine like terms: -28x + 28x = 0
140x + -28x2 = 0

Factor out the Greatest Common Factor (GCF), '28x'.
28x(5 + -1x) = 0

Ignore the factor 28.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 5}

See similar equations:

| 6+3xz+4(xz+y)= | | -8(u+1)=-3u+12 | | x^2-98x-3375=0 | | 7v-22=5(v-4) | | 24=2(y-6)+2y | | b=a+(n-1)*d | | 18=-3w+6(w+8) | | 3(v-5)-6v=15 | | 4.1=8v+16.9 | | 6x^2-41x+30=0 | | 7Q=14-P | | P=5-10Q | | 5x^2+31x+30=0 | | -16=4x-8 | | 3-14=58 | | 17=2+5v | | 14x-34= | | 12x-8= | | 5y^2-12y+7= | | 5x^2+6-1=0 | | 0=x^2+5x-6 | | 3y^2-8y+5= | | 3y^2-8y-3= | | -16t^2+20t+60=0 | | -16t^2+20t+40=0 | | y^2-3x^2+6x+6y-18=0 | | 3y^2+5y-2= | | (a+2)+4=3+9 | | 4+(3+t)=5+6 | | (6y+4)=(3y+37) | | x^2-56x-512=0 | | (a+6)+2=20 |

Equations solver categories