x^2-(m-1)x+9=0

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Solution for x^2-(m-1)x+9=0 equation:


Simplifying
x2 + -1(m + -1) * x + 9 = 0

Reorder the terms:
x2 + -1(-1 + m) * x + 9 = 0

Reorder the terms for easier multiplication:
x2 + -1x(-1 + m) + 9 = 0
x2 + (-1 * -1x + m * -1x) + 9 = 0

Reorder the terms:
x2 + (-1mx + 1x) + 9 = 0
x2 + (-1mx + 1x) + 9 = 0

Reorder the terms:
9 + -1mx + 1x + x2 = 0

Solving
9 + -1mx + 1x + x2 = 0

Solving for variable 'm'.

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

Add '-9' to each side of the equation.
9 + -1mx + 1x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -1mx + 1x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1mx + 1x + x2 = 0 + -9
-1mx + 1x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1mx + 1x + x2 = -9

Add '-1x' to each side of the equation.
-1mx + 1x + -1x + x2 = -9 + -1x

Combine like terms: 1x + -1x = 0
-1mx + 0 + x2 = -9 + -1x
-1mx + x2 = -9 + -1x

Add '-1x2' to each side of the equation.
-1mx + x2 + -1x2 = -9 + -1x + -1x2

Combine like terms: x2 + -1x2 = 0
-1mx + 0 = -9 + -1x + -1x2
-1mx = -9 + -1x + -1x2

Divide each side by '-1x'.
m = 9x-1 + 1 + x

Simplifying
m = 9x-1 + 1 + x

Reorder the terms:
m = 1 + 9x-1 + x

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