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

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


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

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

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

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

Combine like terms: 2x + 5x = 7x
2x(2 + 7x + 5x2) = 0
(2 * 2x + 7x * 2x + 5x2 * 2x) = 0
(4x + 14x2 + 10x3) = 0

Solving
4x + 14x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + 7x + 5x2) = 0

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

Ignore the factor 2.

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1

Subproblem 3
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 = {0, -1, -0.4}

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