7x-18=(-2x+3)(-2x+3)

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Solution for 7x-18=(-2x+3)(-2x+3) equation: 


Simplifying
7x + -18 = (-2x + 3)(-2x + 3)

Reorder the terms:
-18 + 7x = (-2x + 3)(-2x + 3)

Reorder the terms:
-18 + 7x = (3 + -2x)(-2x + 3)

Reorder the terms:
-18 + 7x = (3 + -2x)(3 + -2x)

Multiply (3 + -2x) * (3 + -2x)
-18 + 7x = (3(3 + -2x) + -2x * (3 + -2x))
-18 + 7x = ((3 * 3 + -2x * 3) + -2x * (3 + -2x))
-18 + 7x = ((9 + -6x) + -2x * (3 + -2x))
-18 + 7x = (9 + -6x + (3 * -2x + -2x * -2x))
-18 + 7x = (9 + -6x + (-6x + 4x2))

Combine like terms: -6x + -6x = -12x
-18 + 7x = (9 + -12x + 4x2)

Solving
-18 + 7x = 9 + -12x + 4x2

Solving for variable 'x'.

Reorder the terms:
-18 + -9 + 7x + 12x + -4x2 = 9 + -12x + 4x2 + -9 + 12x + -4x2

Combine like terms: -18 + -9 = -27
-27 + 7x + 12x + -4x2 = 9 + -12x + 4x2 + -9 + 12x + -4x2

Combine like terms: 7x + 12x = 19x
-27 + 19x + -4x2 = 9 + -12x + 4x2 + -9 + 12x + -4x2

Reorder the terms:
-27 + 19x + -4x2 = 9 + -9 + -12x + 12x + 4x2 + -4x2

Combine like terms: 9 + -9 = 0
-27 + 19x + -4x2 = 0 + -12x + 12x + 4x2 + -4x2
-27 + 19x + -4x2 = -12x + 12x + 4x2 + -4x2

Combine like terms: -12x + 12x = 0
-27 + 19x + -4x2 = 0 + 4x2 + -4x2
-27 + 19x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-27 + 19x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
6.75 + -4.75x + x2 = 0

Move the constant term to the right:

Add '-6.75' to each side of the equation.
6.75 + -4.75x + -6.75 + x2 = 0 + -6.75

Reorder the terms:
6.75 + -6.75 + -4.75x + x2 = 0 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -4.75x + x2 = 0 + -6.75
-4.75x + x2 = 0 + -6.75

Combine like terms: 0 + -6.75 = -6.75
-4.75x + x2 = -6.75

The x term is -4.75x.  Take half its coefficient (-2.375).
Square it (5.640625) and add it to both sides.

Add '5.640625' to each side of the equation.
-4.75x + 5.640625 + x2 = -6.75 + 5.640625

Reorder the terms:
5.640625 + -4.75x + x2 = -6.75 + 5.640625

Combine like terms: -6.75 + 5.640625 = -1.109375
5.640625 + -4.75x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -2.375)(x + -2.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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