-5(10x+4)x(3x+2)=

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Solution for -5(10x+4)x(3x+2)= equation: 


Simplifying
-5(10x + 4) * x(3x + 2) = 0

Reorder the terms:
-5(4 + 10x) * x(3x + 2) = 0

Reorder the terms:
-5(4 + 10x) * x(2 + 3x) = 0

Reorder the terms for easier multiplication:
-5x(4 + 10x)(2 + 3x) = 0

Multiply (4 + 10x) * (2 + 3x)
-5x(4(2 + 3x) + 10x * (2 + 3x)) = 0
-5x((2 * 4 + 3x * 4) + 10x * (2 + 3x)) = 0
-5x((8 + 12x) + 10x * (2 + 3x)) = 0
-5x(8 + 12x + (2 * 10x + 3x * 10x)) = 0
-5x(8 + 12x + (20x + 30x2)) = 0

Combine like terms: 12x + 20x = 32x
-5x(8 + 32x + 30x2) = 0
(8 * -5x + 32x * -5x + 30x2 * -5x) = 0
(-40x + -160x2 + -150x3) = 0

Solving
-40x + -160x2 + -150x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-10x'.
-10x(4 + 16x + 15x2) = 0

Factor a trinomial.
-10x((2 + 3x)(2 + 5x)) = 0

Ignore the factor -10.

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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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, -0.6666666667, -0.4}

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