x(4x-15)=0

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Solution for x(4x-15)=0 equation: 


Simplifying
x(4x + -15) = 0

Reorder the terms:
x(-15 + 4x) = 0
(-15 * x + 4x * x) = 0
(-15x + 4x2) = 0

Solving
-15x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 4x) = 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 '(-15 + 4x)' equal to zero and attempt to solve:

Simplifying
-15 + 4x = 0

Solving
-15 + 4x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 4x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 0 + 15
4x = 0 + 15

Combine like terms: 0 + 15 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75
Solution
x = {0, 3.75}

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