mx^2-x(x+4)+2=0

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Solution for mx^2-x(x+4)+2=0 equation:


Simplifying
mx2 + -1x(x + 4) + 2 = 0

Reorder the terms:
mx2 + -1x(4 + x) + 2 = 0
mx2 + (4 * -1x + x * -1x) + 2 = 0
mx2 + (-4x + -1x2) + 2 = 0

Reorder the terms:
2 + mx2 + -4x + -1x2 = 0

Solving
2 + mx2 + -4x + -1x2 = 0

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + mx2 + -4x + -2 + -1x2 = 0 + -2

Reorder the terms:
2 + -2 + mx2 + -4x + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + mx2 + -4x + -1x2 = 0 + -2
mx2 + -4x + -1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
mx2 + -4x + -1x2 = -2

Add '4x' to each side of the equation.
mx2 + -4x + 4x + -1x2 = -2 + 4x

Combine like terms: -4x + 4x = 0
mx2 + 0 + -1x2 = -2 + 4x
mx2 + -1x2 = -2 + 4x

Add 'x2' to each side of the equation.
mx2 + -1x2 + x2 = -2 + 4x + x2

Combine like terms: -1x2 + x2 = 0
mx2 + 0 = -2 + 4x + x2
mx2 = -2 + 4x + x2

Divide each side by 'x2'.
m = -2x-2 + 4x-1 + 1

Simplifying
m = -2x-2 + 4x-1 + 1

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

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