7x(x+8)=5x+40

Simple and best practice solution for 7x(x+8)=5x+40 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(x+8)=5x+40 equation: 


Simplifying
7x(x + 8) = 5x + 40

Reorder the terms:
7x(8 + x) = 5x + 40
(8 * 7x + x * 7x) = 5x + 40
(56x + 7x2) = 5x + 40

Reorder the terms:
56x + 7x2 = 40 + 5x

Solving
56x + 7x2 = 40 + 5x

Solving for variable 'x'.

Reorder the terms:
-40 + 56x + -5x + 7x2 = 40 + 5x + -40 + -5x

Combine like terms: 56x + -5x = 51x
-40 + 51x + 7x2 = 40 + 5x + -40 + -5x

Reorder the terms:
-40 + 51x + 7x2 = 40 + -40 + 5x + -5x

Combine like terms: 40 + -40 = 0
-40 + 51x + 7x2 = 0 + 5x + -5x
-40 + 51x + 7x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 51x + 7x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-8, 0.7142857143}

See similar equations:

| 5/n=13 | | 3(x-(2x+3))=5(-x+3)-2 | | 4x+(x+-50)+(x-40)=180 | | 4x+(x-50)+(x+-40)=180 | | 56x^2+7x=0 | | 4x+(x+50)+(x-40)=180 | | 1600=2500(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x) | | y=-9(-3x-w+5) | | 1600=2500(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x)(1-x) | | 10y-8y-11=27.94 | | 24a^5b^3/36a^7b^5 | | 3x^2+5x-7x=2x^2 | | 3(x+4)+60=3x | | 8u=2u+10 | | (x+2)2=15 | | -2z+2z=0 | | 3(j+7)+4(j-4)=-30 | | 2/5x-y=-1 | | -6.7-3x-1.7-x=-3x+3.8 | | 3/4n+2=1/4n+1 | | 100325+2x=8 | | 2x^2+6x-38=0 | | -5+3u=-11 | | 48-10x+x^2= | | 7x^2-49x= | | 8(x-5)=7(x-3) | | -67-6(3k-4)=-(1-3k) | | 1/4n=5 | | 13y-11y=10 | | 3x^2-9= | | 3[5-(4-6)]= | | -2(x-9)-3(x-5)+5(x-1)= |

Equations solver categories