4x-6=-x^2+4x-2

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Solution for 4x-6=-x^2+4x-2 equation: 


Simplifying
4x + -6 = -1x2 + 4x + -2

Reorder the terms:
-6 + 4x = -1x2 + 4x + -2

Reorder the terms:
-6 + 4x = -2 + 4x + -1x2

Add '-4x' to each side of the equation.
-6 + 4x + -4x = -2 + 4x + -4x + -1x2

Combine like terms: 4x + -4x = 0
-6 + 0 = -2 + 4x + -4x + -1x2
-6 = -2 + 4x + -4x + -1x2

Combine like terms: 4x + -4x = 0
-6 = -2 + 0 + -1x2
-6 = -2 + -1x2

Solving
-6 = -2 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-6 + x2 = -2 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6 + x2 = -2 + 0
-6 + x2 = -2

Add '6' to each side of the equation.
-6 + 6 + x2 = -2 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = -2 + 6
x2 = -2 + 6

Combine like terms: -2 + 6 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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