x^2-4.7x=-28

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Solution for x^2-4.7x=-28 equation:


Simplifying
x2 + -4.7x = -28

Reorder the terms:
-4.7x + x2 = -28

Solving
-4.7x + x2 = -28

Solving for variable 'x'.

Reorder the terms:
28 + -4.7x + x2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + -4.7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + -4.7x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + -4.7x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -4.7x + x2 = 0 + -28
-4.7x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
-4.7x + x2 = -28

The x term is -4.7x.  Take half its coefficient (-2.35).
Square it (5.5225) and add it to both sides.

Add '5.5225' to each side of the equation.
-4.7x + 5.5225 + x2 = -28 + 5.5225

Reorder the terms:
5.5225 + -4.7x + x2 = -28 + 5.5225

Combine like terms: -28 + 5.5225 = -22.4775
5.5225 + -4.7x + x2 = -22.4775

Factor a perfect square on the left side:
(x + -2.35)(x + -2.35) = -22.4775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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