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

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


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

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

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

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

Multiply (-4 + 5x) * (10 + 3x)
x(-4(10 + 3x) + 5x * (10 + 3x)) = 0
x((10 * -4 + 3x * -4) + 5x * (10 + 3x)) = 0
x((-40 + -12x) + 5x * (10 + 3x)) = 0
x(-40 + -12x + (10 * 5x + 3x * 5x)) = 0
x(-40 + -12x + (50x + 15x2)) = 0

Combine like terms: -12x + 50x = 38x
x(-40 + 38x + 15x2) = 0
(-40 * x + 38x * x + 15x2 * x) = 0
(-40x + 38x2 + 15x3) = 0

Solving
-40x + 38x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-40 + 38x + 15x2) = 0

Factor a trinomial.
x((-10 + -3x)(4 + -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 '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 3
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, -3.333333333, 0.8}

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