x(x)-3x+16=4

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Solution for x(x)-3x+16=4 equation:


Simplifying
x(x) + -3x + 16 = 4

Multiply x * x
x2 + -3x + 16 = 4

Reorder the terms:
16 + -3x + x2 = 4

Solving
16 + -3x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
16 + -4 + -3x + x2 = 4 + -4

Combine like terms: 16 + -4 = 12
12 + -3x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
12 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -3x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3x + x2 = 0 + -12
-3x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-3x + x2 = -12

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 = -12 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + -3x + x2 = -9.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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