(4x+5)x(6x-2)=

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Solution for (4x+5)x(6x-2)= equation: 


Simplifying
(4x + 5) * x(6x + -2) = 0

Reorder the terms:
(5 + 4x) * x(6x + -2) = 0

Reorder the terms:
(5 + 4x) * x(-2 + 6x) = 0

Reorder the terms for easier multiplication:
x(5 + 4x)(-2 + 6x) = 0

Multiply (5 + 4x) * (-2 + 6x)
x(5(-2 + 6x) + 4x * (-2 + 6x)) = 0
x((-2 * 5 + 6x * 5) + 4x * (-2 + 6x)) = 0
x((-10 + 30x) + 4x * (-2 + 6x)) = 0
x(-10 + 30x + (-2 * 4x + 6x * 4x)) = 0
x(-10 + 30x + (-8x + 24x2)) = 0

Combine like terms: 30x + -8x = 22x
x(-10 + 22x + 24x2) = 0
(-10 * x + 22x * x + 24x2 * x) = 0
(-10x + 22x2 + 24x3) = 0

Solving
-10x + 22x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5 + 11x + 12x2) = 0

Factor a trinomial.
2x((-5 + -4x)(1 + -3x)) = 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 '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 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 + -4x = 0 + 5

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

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 3
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, -1.25, 0.3333333333}

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