12x^2+13x^2+3x=0

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Solution for 12x^2+13x^2+3x=0 equation:


Simplifying
12x2 + 13x2 + 3x = 0

Reorder the terms:
3x + 12x2 + 13x2 = 0

Combine like terms: 12x2 + 13x2 = 25x2
3x + 25x2 = 0

Solving
3x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 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 '(3 + 25x)' equal to zero and attempt to solve: Simplifying 3 + 25x = 0 Solving 3 + 25x = 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 + 25x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 25x = 0 + -3 25x = 0 + -3 Combine like terms: 0 + -3 = -3 25x = -3 Divide each side by '25'. x = -0.12 Simplifying x = -0.12

Solution

x = {0, -0.12}

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