x(2x+7)(x+5)=

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Solution for x(2x+7)(x+5)= equation: 


Simplifying
x(2x + 7)(x + 5) = 0

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

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

Multiply (7 + 2x) * (5 + x)
x(7(5 + x) + 2x * (5 + x)) = 0
x((5 * 7 + x * 7) + 2x * (5 + x)) = 0
x((35 + 7x) + 2x * (5 + x)) = 0
x(35 + 7x + (5 * 2x + x * 2x)) = 0
x(35 + 7x + (10x + 2x2)) = 0

Combine like terms: 7x + 10x = 17x
x(35 + 17x + 2x2) = 0
(35 * x + 17x * x + 2x2 * x) = 0
(35x + 17x2 + 2x3) = 0

Solving
35x + 17x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + 17x + 2x2) = 0

Factor a trinomial.
x((5 + x)(7 + 2x)) = 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 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5

Subproblem 3
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, -5, -3.5}

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