x^2+7x=10x+40

Simple and best practice solution for x^2+7x=10x+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 x^2+7x=10x+40 equation: 


Simplifying
x2 + 7x = 10x + 40

Reorder the terms:
7x + x2 = 10x + 40

Reorder the terms:
7x + x2 = 40 + 10x

Solving
7x + x2 = 40 + 10x

Solving for variable 'x'.

Reorder the terms:
-40 + 7x + -10x + x2 = 40 + 10x + -40 + -10x

Combine like terms: 7x + -10x = -3x
-40 + -3x + x2 = 40 + 10x + -40 + -10x

Reorder the terms:
-40 + -3x + x2 = 40 + -40 + 10x + -10x

Combine like terms: 40 + -40 = 0
-40 + -3x + x2 = 0 + 10x + -10x
-40 + -3x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-40 + -3x + x2 = 0

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


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
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
Solution
x = {-5, 8}

See similar equations:

| r-9.3=-1.8 | | 0.19y+0.08(y+8000)=3070 | | r-9.3=-108 | | -4(3-x)=11(4x-3) | | 0.19y+0.08(y-8000)=3070 | | -(4-n)+7n=-3n+40 | | 2(6m-4)=-23-3m | | 26=54t-5t^2 | | x+7=3x+17 | | -2x-8=5x+76 | | 3(4+2x)=6-2(-x+3) | | 6(3x+3)=18-6x | | -3x+1=1+5x | | -5=7+x | | -5n+-4(-7-4n)=36+7n | | 14=6+w | | -7(-8p+2)+7=-p-7 | | 8x-9x-7=7+x | | 2x+9=25+6x | | 6x+3=x-2 | | x^2+21x+49=0 | | x^2+21+49=0 | | 3(5-t)=18 | | x^2-21-49=0 | | -8(p-10)=80 | | -7k-2=-86 | | 12.25=1.75x | | -36+6m=3(8+6m) | | -29=3a-5 | | 18+n=28 | | 80=-4n | | 5x+5=-15+3x |

Equations solver categories