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

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


Simplifying
(x + -5)(5x + 2) = 0

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

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

Multiply (-5 + x) * (2 + 5x)
(-5(2 + 5x) + x(2 + 5x)) = 0
((2 * -5 + 5x * -5) + x(2 + 5x)) = 0
((-10 + -25x) + x(2 + 5x)) = 0
(-10 + -25x + (2 * x + 5x * x)) = 0
(-10 + -25x + (2x + 5x2)) = 0

Combine like terms: -25x + 2x = -23x
(-10 + -23x + 5x2) = 0

Solving
-10 + -23x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
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
Solution
x = {-0.4, 5}

See similar equations:

| -1.2B=1.2 | | X+6+x+2x=25 | | 5.07=r-3.07 | | 2x^4+48x^2+168=0 | | 2(x+8)-3x=8 | | -7/10z=-4/3 | | -4.5y=-81 | | 16c^2-81=0 | | x/2+2=7 | | 28=x-3x | | 3x+6/6 | | -3+5n+2n^2=0 | | 3(x-8)=30 | | -25=5/11x | | -5x+2-(-8x-7)=15 | | 0.22-0.03(x+2)=-0.02(2-x) | | 8x^2-30x+27=0 | | -3-7x+6x^2=0 | | 16x=16-5x^2 | | 1=6+4x | | 7x+9=6x+12 | | -11=-15+n | | 9(x+2)-5=5x+4(4+x) | | 3x-5x=-18 | | 3b+9=18 | | 19-3=14+2x | | 7x+11=4x+8 | | 6+x/3=18 | | x/2-5=x/5-2 | | 4x+18/17-3x=1/34 | | y/-3-9=-34 | | 16x^2+9=-24x |

Equations solver categories