x(5x-2)*(x+3)=

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


Simplifying
x(5x + -2)(x + 3) = 0

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

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

Multiply (-2 + 5x) * (3 + x)
x(-2(3 + x) + 5x * (3 + x)) = 0
x((3 * -2 + x * -2) + 5x * (3 + x)) = 0
x((-6 + -2x) + 5x * (3 + x)) = 0
x(-6 + -2x + (3 * 5x + x * 5x)) = 0
x(-6 + -2x + (15x + 5x2)) = 0

Combine like terms: -2x + 15x = 13x
x(-6 + 13x + 5x2) = 0
(-6 * x + 13x * x + 5x2 * x) = 0
(-6x + 13x2 + 5x3) = 0

Solving
-6x + 13x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 13x + 5x2) = 0

Factor a trinomial.
x((-3 + -1x)(2 + -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 '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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, -3, 0.4}

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