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

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Solution for 0=(-5x+2)(x+5) equation: 


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

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

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

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

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

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

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + 23x + 5x2 = 10 + -23x + -5x2 + -10 + 23x + 5x2

Reorder the terms:
-10 + 23x + 5x2 = 10 + -10 + -23x + 23x + -5x2 + 5x2

Combine like terms: 10 + -10 = 0
-10 + 23x + 5x2 = 0 + -23x + 23x + -5x2 + 5x2
-10 + 23x + 5x2 = -23x + 23x + -5x2 + 5x2

Combine like terms: -23x + 23x = 0
-10 + 23x + 5x2 = 0 + -5x2 + 5x2
-10 + 23x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-10 + 23x + 5x2 = 0

Factor a trinomial.
(-5 + -1x)(2 + -5x) = 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 '(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
Solution
x = {-5, 0.4}

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