-3x=-x^2-7

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Solution for -3x=-x^2-7 equation:


Simplifying
-3x = -1x2 + -7

Reorder the terms:
-3x = -7 + -1x2

Solving
-3x = -7 + -1x2

Solving for variable 'x'.

Reorder the terms:
7 + -3x + x2 = -7 + -1x2 + 7 + x2

Reorder the terms:
7 + -3x + x2 = -7 + 7 + -1x2 + x2

Combine like terms: -7 + 7 = 0
7 + -3x + x2 = 0 + -1x2 + x2
7 + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
7 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -3x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x + x2 = 0 + -7
-3x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3x + x2 = -7

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -7 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7 + 2.25

Combine like terms: -7 + 2.25 = -4.75
2.25 + -3x + x2 = -4.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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