(m+2)x^2+5x+2m=0

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Solution for (m+2)x^2+5x+2m=0 equation:


Simplifying
(m + 2) * x2 + 5x + 2m = 0

Reorder the terms:
(2 + m) * x2 + 5x + 2m = 0

Reorder the terms for easier multiplication:
x2(2 + m) + 5x + 2m = 0
(2 * x2 + m * x2) + 5x + 2m = 0

Reorder the terms:
(mx2 + 2x2) + 5x + 2m = 0
(mx2 + 2x2) + 5x + 2m = 0

Reorder the terms:
2m + mx2 + 5x + 2x2 = 0

Solving
2m + mx2 + 5x + 2x2 = 0

Solving for variable 'm'.

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

Add '-5x' to each side of the equation.
2m + mx2 + 5x + -5x + 2x2 = 0 + -5x

Combine like terms: 5x + -5x = 0
2m + mx2 + 0 + 2x2 = 0 + -5x
2m + mx2 + 2x2 = 0 + -5x
Remove the zero:
2m + mx2 + 2x2 = -5x

Add '-2x2' to each side of the equation.
2m + mx2 + 2x2 + -2x2 = -5x + -2x2

Combine like terms: 2x2 + -2x2 = 0
2m + mx2 + 0 = -5x + -2x2
2m + mx2 = -5x + -2x2

Reorder the terms:
2m + mx2 + 5x + 2x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
2m + mx2 + 5x + 2x2 = 0 + -2x2 + 2x2
2m + mx2 + 5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
2m + mx2 + 5x + 2x2 = 0

The solution to this equation could not be determined.

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