7x(x+5)+40=x^2+4x

Simple and best practice solution for 7x(x+5)+40=x^2+4x 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+5)+40=x^2+4x equation: 


Simplifying
7x(x + 5) + 40 = x2 + 4x

Reorder the terms:
7x(5 + x) + 40 = x2 + 4x
(5 * 7x + x * 7x) + 40 = x2 + 4x
(35x + 7x2) + 40 = x2 + 4x

Reorder the terms:
40 + 35x + 7x2 = x2 + 4x

Reorder the terms:
40 + 35x + 7x2 = 4x + x2

Solving
40 + 35x + 7x2 = 4x + x2

Solving for variable 'x'.

Reorder the terms:
40 + 35x + -4x + 7x2 + -1x2 = 4x + x2 + -4x + -1x2

Combine like terms: 35x + -4x = 31x
40 + 31x + 7x2 + -1x2 = 4x + x2 + -4x + -1x2

Combine like terms: 7x2 + -1x2 = 6x2
40 + 31x + 6x2 = 4x + x2 + -4x + -1x2

Reorder the terms:
40 + 31x + 6x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
40 + 31x + 6x2 = 0 + x2 + -1x2
40 + 31x + 6x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + 31x + 6x2 = 0

Factor a trinomial.
(8 + 3x)(5 + 2x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-2.666666667, -2.5}

See similar equations:

| 7x+16=28 | | 6x+9-2x=25 | | 11a^2+10=0 | | x-3/3x2-5x-36 | | -29x+17y=-3 | | (11a^2)+10=0 | | (A+.8A+.5A)8000=231200 | | c=26t^2+4208 | | -4n-36=-5(1+7n) | | x+18x+81= | | s^2-4s+45=0 | | A+.8A+.5A=231200 | | 4a/16a= | | 38=12+3x | | 15x=20x-9 | | 45x+8=25 | | (5v+4)(9+x)=0 | | 3^10/3^7 | | 6x+12x=30-3x | | -5v+2(v+6)=18 | | (5+v)(v-9)=0 | | 2x-x+1=x+3-2 | | -22=-8v+6(v-7) | | (3y+2x)dx+3xdy=0 | | 6-2(x+4)=12 | | (x-2y)x(2x)3x= | | 54=-7x+x+6 | | 3z-19=-31 | | -3(x+2)+5=7(x+4)+9 | | 3x(8+x)=0 | | (9x)+(9+x)= | | 22-(7x+6)=7(x+8)+x |

Equations solver categories