x^2-(m+7)x+5m+10=0

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Solution for x^2-(m+7)x+5m+10=0 equation: 


Simplifying
x2 + -1(m + 7) * x + 5m + 10 = 0

Reorder the terms:
x2 + -1(7 + m) * x + 5m + 10 = 0

Reorder the terms for easier multiplication:
x2 + -1x(7 + m) + 5m + 10 = 0
x2 + (7 * -1x + m * -1x) + 5m + 10 = 0

Reorder the terms:
x2 + (-1mx + -7x) + 5m + 10 = 0
x2 + (-1mx + -7x) + 5m + 10 = 0

Reorder the terms:
10 + 5m + -1mx + -7x + x2 = 0

Solving
10 + 5m + -1mx + -7x + x2 = 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 + 5m + -1mx + -7x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 5m + -1mx + -7x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5m + -1mx + -7x + x2 = 0 + -10
5m + -1mx + -7x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
5m + -1mx + -7x + x2 = -10

Add '7x' to each side of the equation.
5m + -1mx + -7x + 7x + x2 = -10 + 7x

Combine like terms: -7x + 7x = 0
5m + -1mx + 0 + x2 = -10 + 7x
5m + -1mx + x2 = -10 + 7x

Add '-1x2' to each side of the equation.
5m + -1mx + x2 + -1x2 = -10 + 7x + -1x2

Combine like terms: x2 + -1x2 = 0
5m + -1mx + 0 = -10 + 7x + -1x2
5m + -1mx = -10 + 7x + -1x2

Reorder the terms:
10 + 5m + -1mx + -7x + x2 = -10 + 7x + -1x2 + 10 + -7x + x2

Reorder the terms:
10 + 5m + -1mx + -7x + x2 = -10 + 10 + 7x + -7x + -1x2 + x2

Combine like terms: -10 + 10 = 0
10 + 5m + -1mx + -7x + x2 = 0 + 7x + -7x + -1x2 + x2
10 + 5m + -1mx + -7x + x2 = 7x + -7x + -1x2 + x2

Combine like terms: 7x + -7x = 0
10 + 5m + -1mx + -7x + x2 = 0 + -1x2 + x2
10 + 5m + -1mx + -7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + 5m + -1mx + -7x + x2 = 0

The solution to this equation could not be determined.

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