5x*5x+12x=0

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Solution for 5x*5x+12x=0 equation: 


Simplifying
5x * 5x + 12x = 0

Reorder the terms for easier multiplication:
5 * 5x * x + 12x = 0

Multiply 5 * 5
25x * x + 12x = 0

Multiply x * x
25x2 + 12x = 0

Reorder the terms:
12x + 25x2 = 0

Solving
12x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + 25x) = 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 '(12 + 25x)' equal to zero and attempt to solve:

Simplifying
12 + 25x = 0

Solving
12 + 25x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 25x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 25x = 0 + -12
25x = 0 + -12

Combine like terms: 0 + -12 = -12
25x = -12

Divide each side by '25'.
x = -0.48

Simplifying
x = -0.48
Solution
x = {0, -0.48}

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