x^2+5x=7x+80

Simple and best practice solution for x^2+5x=7x+80 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^2+5x=7x+80 equation: 


Simplifying
x2 + 5x = 7x + 80

Reorder the terms:
5x + x2 = 7x + 80

Reorder the terms:
5x + x2 = 80 + 7x

Solving
5x + x2 = 80 + 7x

Solving for variable 'x'.

Reorder the terms:
-80 + 5x + -7x + x2 = 80 + 7x + -80 + -7x

Combine like terms: 5x + -7x = -2x
-80 + -2x + x2 = 80 + 7x + -80 + -7x

Reorder the terms:
-80 + -2x + x2 = 80 + -80 + 7x + -7x

Combine like terms: 80 + -80 = 0
-80 + -2x + x2 = 0 + 7x + -7x
-80 + -2x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-80 + -2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-8, 10}

See similar equations:

| x=3.14(8)5+3.14(25) | | -11u--16u-6u=-20 | | x=3.14(9)6 | | x=3.14(1.5)6 | | 4.5-3.45x=8.04 | | 2x+5=y | | 7.65h+50=149.45 | | 8n-4n-n-3n+2n=16 | | x=3.14(5)8+3.14(25) | | 88018+63829x=135204749 | | 7x-19x=12 | | 2x+5=-7x+95 | | 2x+5=-7+95 | | 20v-11v-5v+2v=18 | | a+a+5+a+3=1.24 | | -1.25(-4m-8)= | | 8x-3x+3x-4x+3x=14 | | g+8g-5=1 | | -5.1(2a-4)= | | 19s-8s-5s=6 | | 16x^2=31 | | ln(7x+16)+ln(2)=2ln(x) | | logx=7 | | 39y^11+21y^5= | | 3z+4z-4z-2z=13 | | x^4y^3-x^5y^2-x^6y^4= | | 18-(x+16)=4x-3 | | 18-(x+16)=4 | | -.6x*20= | | 11u-10u=11 | | P=12-(0.5)Q | | (-3.6m)(-2m)= |

Equations solver categories