(x-1.5)(x-1.5)=-1.75

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Solution for (x-1.5)(x-1.5)=-1.75 equation:


Simplifying
(x + -1.5)(x + -1.5) = -1.75

Reorder the terms:
(-1.5 + x)(x + -1.5) = -1.75

Reorder the terms:
(-1.5 + x)(-1.5 + x) = -1.75

Multiply (-1.5 + x) * (-1.5 + x)
(-1.5(-1.5 + x) + x(-1.5 + x)) = -1.75
((-1.5 * -1.5 + x * -1.5) + x(-1.5 + x)) = -1.75
((2.25 + -1.5x) + x(-1.5 + x)) = -1.75
(2.25 + -1.5x + (-1.5 * x + x * x)) = -1.75
(2.25 + -1.5x + (-1.5x + x2)) = -1.75

Combine like terms: -1.5x + -1.5x = -3x
(2.25 + -3x + x2) = -1.75

Solving
2.25 + -3x + x2 = -1.75

Solving for variable 'x'.

Reorder the terms:
2.25 + 1.75 + -3x + x2 = -1.75 + 1.75

Combine like terms: 2.25 + 1.75 = 4
4 + -3x + x2 = -1.75 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
4 + -3x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3x + -4 + x2 = 0.00 + -4

Reorder the terms:
4 + -4 + -3x + x2 = 0.00 + -4

Combine like terms: 4 + -4 = 0
0 + -3x + x2 = 0.00 + -4
-3x + x2 = 0.00 + -4

Combine like terms: 0.00 + -4 = -4
-3x + x2 = -4

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 = -4 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + -3x + x2 = -1.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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