mx^2*2x+m=0

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Solution for mx^2*2x+m=0 equation:


Simplifying
mx2 * 2x + m = 0

Reorder the terms for easier multiplication:
2mx2 * x + m = 0

Multiply mx2 * x
2mx3 + m = 0

Reorder the terms:
m + 2mx3 = 0

Solving
m + 2mx3 = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(1 + 2x3) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(1 + 2x3)' equal to zero and attempt to solve: Simplifying 1 + 2x3 = 0 Solving 1 + 2x3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x3 = 0 + -1 2x3 = 0 + -1 Combine like terms: 0 + -1 = -1 2x3 = -1 Add '-2x3' to each side of the equation. 2x3 + -2x3 = -1 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = -1 + -2x3 Simplifying 0 = -1 + -2x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

m = {0}

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