mx^2-2(m+2)x-(m-10)=0

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Solution for mx^2-2(m+2)x-(m-10)=0 equation: 


Simplifying
mx2 + -2(m + 2) * x + -1(m + -10) = 0

Reorder the terms:
mx2 + -2(2 + m) * x + -1(m + -10) = 0

Reorder the terms for easier multiplication:
mx2 + -2x(2 + m) + -1(m + -10) = 0
mx2 + (2 * -2x + m * -2x) + -1(m + -10) = 0

Reorder the terms:
mx2 + (-2mx + -4x) + -1(m + -10) = 0
mx2 + (-2mx + -4x) + -1(m + -10) = 0

Reorder the terms:
mx2 + -2mx + -4x + -1(-10 + m) = 0
mx2 + -2mx + -4x + (-10 * -1 + m * -1) = 0
mx2 + -2mx + -4x + (10 + -1m) = 0

Reorder the terms:
10 + -1m + -2mx + mx2 + -4x = 0

Solving
10 + -1m + -2mx + mx2 + -4x = 0

Solving for variable 'm'.

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

Add '-10' to each side of the equation.
10 + -1m + -2mx + mx2 + -10 + -4x = 0 + -10

Reorder the terms:
10 + -10 + -1m + -2mx + mx2 + -4x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m + -2mx + mx2 + -4x = 0 + -10
-1m + -2mx + mx2 + -4x = 0 + -10

Combine like terms: 0 + -10 = -10
-1m + -2mx + mx2 + -4x = -10

Add '4x' to each side of the equation.
-1m + -2mx + mx2 + -4x + 4x = -10 + 4x

Combine like terms: -4x + 4x = 0
-1m + -2mx + mx2 + 0 = -10 + 4x
-1m + -2mx + mx2 = -10 + 4x

Reorder the terms:
10 + -1m + -2mx + mx2 + -4x = -10 + 4x + 10 + -4x

Reorder the terms:
10 + -1m + -2mx + mx2 + -4x = -10 + 10 + 4x + -4x

Combine like terms: -10 + 10 = 0
10 + -1m + -2mx + mx2 + -4x = 0 + 4x + -4x
10 + -1m + -2mx + mx2 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1m + -2mx + mx2 + -4x = 0

The solution to this equation could not be determined.

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