8x(x+7)=5x+35

Simple and best practice solution for 8x(x+7)=5x+35 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 8x(x+7)=5x+35 equation: 


Simplifying
8x(x + 7) = 5x + 35

Reorder the terms:
8x(7 + x) = 5x + 35
(7 * 8x + x * 8x) = 5x + 35
(56x + 8x2) = 5x + 35

Reorder the terms:
56x + 8x2 = 35 + 5x

Solving
56x + 8x2 = 35 + 5x

Solving for variable 'x'.

Reorder the terms:
-35 + 56x + -5x + 8x2 = 35 + 5x + -35 + -5x

Combine like terms: 56x + -5x = 51x
-35 + 51x + 8x2 = 35 + 5x + -35 + -5x

Reorder the terms:
-35 + 51x + 8x2 = 35 + -35 + 5x + -5x

Combine like terms: 35 + -35 = 0
-35 + 51x + 8x2 = 0 + 5x + -5x
-35 + 51x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-35 + 51x + 8x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -8x) = 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 '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 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 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {-7, 0.625}

See similar equations:

| 30-4-7=m | | mg=5 | | 3/10-3/5= | | Tan(55)*20=x | | 225-8y=17 | | -2(3x-4)=4x-10-x | | 1.5x(x-2)+9=1.5x+6 | | 7x^3-x^2+14x+7xy=0 | | 3.4x=-0.238 | | lny=ln(9x)+c | | .3333x=8 | | 4x-9-2x=-4 | | 1/(2x-4)=7/3 | | Tan(55)2*20=x | | log(8x-9)-log(x-1)=1 | | 5+4x=2+8x | | 1/(2x-4)=31/24 | | -5.4-7.8x=-78.4 | | ln(x)=ln(2) | | 2/3x-9=1/2x-8 | | 10t-4=-3 | | 31=7k-4 | | -4(2x+3)=2(3x-2) | | 2.5x+46.8=14.7-8.2x | | 2(4w+1)-2w=5w-1 | | 100/×=-4 | | -10x=8x-7 | | 3x-59=34 | | 1/2x-400=5000 | | 2/7=35/h | | X+9-4x=-3x-3 | | g=2(2)+1 |

Equations solver categories