x*(x+7)=4x+28

Simple and best practice solution for x*(x+7)=4x+28 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 x*(x+7)=4x+28 equation: 


Simplifying
x(x + 7) = 4x + 28

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

Reorder the terms:
7x + x2 = 28 + 4x

Solving
7x + x2 = 28 + 4x

Solving for variable 'x'.

Reorder the terms:
-28 + 7x + -4x + x2 = 28 + 4x + -28 + -4x

Combine like terms: 7x + -4x = 3x
-28 + 3x + x2 = 28 + 4x + -28 + -4x

Reorder the terms:
-28 + 3x + x2 = 28 + -28 + 4x + -4x

Combine like terms: 28 + -28 = 0
-28 + 3x + x2 = 0 + 4x + -4x
-28 + 3x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 3x + x2 = 0

Factor a trinomial.
(-7 + -1x)(4 + -1x) = 0


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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

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

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-7, 4}

See similar equations:

| 4.9h-4.6=12.2-3.1h | | 6-5m=4 | | 3(2x-5)+3=2(2x-1) | | 2(2x+3)=3(x-9)+18 | | 5m+4y-2m-y= | | 4(2x-1)=5(x-8)+15 | | xy-3z=0 | | 6m+4=24-6m | | m/8-12=34 | | 2(9-3x)=(2x-11) | | x^2-17*x+132=0 | | 2(k-4)=2(4-k) | | 4(2x+4)=6(x+4) | | 3(2x-7)=3(x+3) | | 1/2y=[(-2)^2]^3 | | 4(2+x)=2x+12 | | 6x/36xy | | x^3-24*x^2+144*x-10=0 | | 12b-13=7b+37 | | 3x+x=62 | | (x+3)-7=2(x+17)-3(x+1) | | 9a+22=88-2a | | 7x+33=110 | | (x-3)-7=2(x+17)-3(x+1) | | 5(m-5)+5m=5-m | | 5(m-5)+5=5-m | | 4(z+9)=3z | | 5(m-5)=5-m | | 12(n+5)=(15+3n) | | 5n^2-17n-900=0 | | 2sin(x+3)=3sin(x-2) | | (-n)-5=11 |

Equations solver categories