5(7-x)(2x+8)=0

Simple and best practice solution for 5(7-x)(2x+8)=0 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 5(7-x)(2x+8)=0 equation: 


Simplifying
5(7 + -1x)(2x + 8) = 0

Reorder the terms:
5(7 + -1x)(8 + 2x) = 0

Multiply (7 + -1x) * (8 + 2x)
5(7(8 + 2x) + -1x * (8 + 2x)) = 0
5((8 * 7 + 2x * 7) + -1x * (8 + 2x)) = 0
5((56 + 14x) + -1x * (8 + 2x)) = 0
5(56 + 14x + (8 * -1x + 2x * -1x)) = 0
5(56 + 14x + (-8x + -2x2)) = 0

Combine like terms: 14x + -8x = 6x
5(56 + 6x + -2x2) = 0
(56 * 5 + 6x * 5 + -2x2 * 5) = 0
(280 + 30x + -10x2) = 0

Solving
280 + 30x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(28 + 3x + -1x2) = 0

Factor a trinomial.
10((7 + -1x)(4 + x)) = 0

Ignore the factor 10.

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {7, -4}

See similar equations:

| 20x+20=25x+10 | | 2023mb=s*12138 | | 5cos^2x-7cos+2=0 | | 2cos^2x-4cosx=2sen^2x-3 | | 20=s+406 | | 14+g=25 | | s*7+32=186 | | 5x-48=-3 | | z/10-6=4 | | 7x-3+8=2x-x+1 | | -2x/7=11 | | x+25+x+80=180 | | -2x/7=-5 | | x+25=x+80 | | u/12 | | u/12=2 | | F+g=500 | | 16-(2x)=x-5 | | X^3+4x^2-16x-72=0 | | 10x-23=8x+17 | | 16-2x=x-5 | | 3=5*x-9 | | 3=9*x+6 | | -8logx=-64 | | -8logb=-64 | | 0.5x+5.5y+9.5z=100 | | 12-4p= | | (9x-27)/-3x | | 4-5/2x=-1 | | 15x^3y/3x^-15y^-5 | | sinx+cosx-3=0 | | -6=24-2a |

Equations solver categories