5x(8x-6)(x)=

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Solution for 5x(8x-6)(x)= equation: 


Simplifying
5x(8x + -6)(x) = 0

Reorder the terms:
5x(-6 + 8x)(x) = 0

Reorder the terms for easier multiplication:
5x * x(-6 + 8x) = 0

Multiply x * x
5x2(-6 + 8x) = 0
(-6 * 5x2 + 8x * 5x2) = 0
(-30x2 + 40x3) = 0

Solving
-30x2 + 40x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-3 + 4x) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-3 + 4x)' equal to zero and attempt to solve:

Simplifying
-3 + 4x = 0

Solving
-3 + 4x = 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 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0, 0.75}

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