2x^2+50=x^2+4x+10

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Solution for 2x^2+50=x^2+4x+10 equation:


Simplifying
2x2 + 50 = x2 + 4x + 10

Reorder the terms:
50 + 2x2 = x2 + 4x + 10

Reorder the terms:
50 + 2x2 = 10 + 4x + x2

Solving
50 + 2x2 = 10 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
50 + -10 + -4x + 2x2 + -1x2 = 10 + 4x + x2 + -10 + -4x + -1x2

Combine like terms: 50 + -10 = 40
40 + -4x + 2x2 + -1x2 = 10 + 4x + x2 + -10 + -4x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
40 + -4x + 1x2 = 10 + 4x + x2 + -10 + -4x + -1x2

Reorder the terms:
40 + -4x + 1x2 = 10 + -10 + 4x + -4x + x2 + -1x2

Combine like terms: 10 + -10 = 0
40 + -4x + 1x2 = 0 + 4x + -4x + x2 + -1x2
40 + -4x + 1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
40 + -4x + 1x2 = 0 + x2 + -1x2
40 + -4x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + -4x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -4x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -4x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -4x + x2 = 0 + -40
-4x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-4x + x2 = -40

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -40 + 4

Reorder the terms:
4 + -4x + x2 = -40 + 4

Combine like terms: -40 + 4 = -36
4 + -4x + x2 = -36

Factor a perfect square on the left side:
(x + -2)(x + -2) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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