x^2-2(m+1)x-3=0

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Solution for x^2-2(m+1)x-3=0 equation:


Simplifying
x2 + -2(m + 1) * x + -3 = 0

Reorder the terms:
x2 + -2(1 + m) * x + -3 = 0

Reorder the terms for easier multiplication:
x2 + -2x(1 + m) + -3 = 0
x2 + (1 * -2x + m * -2x) + -3 = 0

Reorder the terms:
x2 + (-2mx + -2x) + -3 = 0
x2 + (-2mx + -2x) + -3 = 0

Reorder the terms:
-3 + -2mx + -2x + x2 = 0

Solving
-3 + -2mx + -2x + x2 = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + -2mx + -2x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + -2mx + -2x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2mx + -2x + x2 = 0 + 3
-2mx + -2x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2mx + -2x + x2 = 3

Add '2x' to each side of the equation.
-2mx + -2x + 2x + x2 = 3 + 2x

Combine like terms: -2x + 2x = 0
-2mx + 0 + x2 = 3 + 2x
-2mx + x2 = 3 + 2x

Add '-1x2' to each side of the equation.
-2mx + x2 + -1x2 = 3 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
-2mx + 0 = 3 + 2x + -1x2
-2mx = 3 + 2x + -1x2

Divide each side by '-2x'.
m = -1.5x-1 + -1 + 0.5x

Simplifying
m = -1.5x-1 + -1 + 0.5x

Reorder the terms:
m = -1 + -1.5x-1 + 0.5x

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