(5x-1)(2x+5)x=

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Solution for (5x-1)(2x+5)x= equation: 


Simplifying
(5x + -1)(2x + 5) * x = 0

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

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

Reorder the terms for easier multiplication:
x(-1 + 5x)(5 + 2x) = 0

Multiply (-1 + 5x) * (5 + 2x)
x(-1(5 + 2x) + 5x * (5 + 2x)) = 0
x((5 * -1 + 2x * -1) + 5x * (5 + 2x)) = 0
x((-5 + -2x) + 5x * (5 + 2x)) = 0
x(-5 + -2x + (5 * 5x + 2x * 5x)) = 0
x(-5 + -2x + (25x + 10x2)) = 0

Combine like terms: -2x + 25x = 23x
x(-5 + 23x + 10x2) = 0
(-5 * x + 23x * x + 10x2 * x) = 0
(-5x + 23x2 + 10x3) = 0

Solving
-5x + 23x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 23x + 10x2) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, -2.5, 0.2}

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