mx^2+(m-5)x-20=0

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Solution for mx^2+(m-5)x-20=0 equation:


Simplifying
mx2 + (m + -5) * x + -20 = 0

Reorder the terms:
mx2 + (-5 + m) * x + -20 = 0

Reorder the terms for easier multiplication:
mx2 + x(-5 + m) + -20 = 0
mx2 + (-5 * x + m * x) + -20 = 0

Reorder the terms:
mx2 + (mx + -5x) + -20 = 0
mx2 + (mx + -5x) + -20 = 0

Reorder the terms:
-20 + mx + mx2 + -5x = 0

Solving
-20 + mx + mx2 + -5x = 0

Solving for variable 'm'.

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

Add '20' to each side of the equation.
-20 + mx + mx2 + 20 + -5x = 0 + 20

Reorder the terms:
-20 + 20 + mx + mx2 + -5x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + mx + mx2 + -5x = 0 + 20
mx + mx2 + -5x = 0 + 20

Combine like terms: 0 + 20 = 20
mx + mx2 + -5x = 20

Add '5x' to each side of the equation.
mx + mx2 + -5x + 5x = 20 + 5x

Combine like terms: -5x + 5x = 0
mx + mx2 + 0 = 20 + 5x
mx + mx2 = 20 + 5x

Reorder the terms:
-20 + mx + mx2 + -5x = 20 + 5x + -20 + -5x

Reorder the terms:
-20 + mx + mx2 + -5x = 20 + -20 + 5x + -5x

Combine like terms: 20 + -20 = 0
-20 + mx + mx2 + -5x = 0 + 5x + -5x
-20 + mx + mx2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + mx + mx2 + -5x = 0

The solution to this equation could not be determined.

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