5x(x+7)=4x+28

Simple and best practice solution for 5x(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 5x(x+7)=4x+28 equation: 


Simplifying
5x(x + 7) = 4x + 28

Reorder the terms:
5x(7 + x) = 4x + 28
(7 * 5x + x * 5x) = 4x + 28
(35x + 5x2) = 4x + 28

Reorder the terms:
35x + 5x2 = 28 + 4x

Solving
35x + 5x2 = 28 + 4x

Solving for variable 'x'.

Reorder the terms:
-28 + 35x + -4x + 5x2 = 28 + 4x + -28 + -4x

Combine like terms: 35x + -4x = 31x
-28 + 31x + 5x2 = 28 + 4x + -28 + -4x

Reorder the terms:
-28 + 31x + 5x2 = 28 + -28 + 4x + -4x

Combine like terms: 28 + -28 = 0
-28 + 31x + 5x2 = 0 + 4x + -4x
-28 + 31x + 5x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 31x + 5x2 = 0

Factor a trinomial.
(-7 + -1x)(4 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-7, 0.8}

See similar equations:

| (2u+7)+(3u-1)=0 | | x/2+3/2=(2x)/2-1/2 | | 15x^2-47x+14=0 | | 3X+4+7y=18 | | 14/300=x/200 | | 4-7x-13=-8x-3-5x | | 6x/7=-12 | | 8y^2-69y+40=0 | | 4/x=300/200 | | y/-3=-1-5 | | 12(3x-2)=3(12x+3) | | 4r/3=16 | | 9x+15=-22-4(x+12) | | x(x+5)(x+10)(x+15)=1500 | | 2y^2-7y-15=0 | | (3x-4z)(7x-z)= | | 4/5*=20 | | (27x^2-33x)/(9x-8) | | 27x^2-33x/9x-8 | | 10=-r/8 | | 5t/9=20 | | 5x^3-9x^2+8x-20=0 | | 5x+6(x+1)=x-2(x-3) | | 986.11/10000 | | 3x-2(2x+3)+2x=-8 | | 3(2-x)-4=6(1-x)+4 | | 7.39x+66.51=133.02 | | 1979999+1= | | 5q-6n=11tc | | 3x^2=8x-2 | | 5(2x-1)+8=3-4x | | 2-3(x-1)+6x=8 |

Equations solver categories