(4x+3)(4x-3)-(6x-2)+18=0

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Solution for (4x+3)(4x-3)-(6x-2)+18=0 equation: 


Simplifying
(4x + 3)(4x + -3) + -1(6x + -2) + 18 = 0

Reorder the terms:
(3 + 4x)(4x + -3) + -1(6x + -2) + 18 = 0

Reorder the terms:
(3 + 4x)(-3 + 4x) + -1(6x + -2) + 18 = 0

Multiply (3 + 4x) * (-3 + 4x)
(3(-3 + 4x) + 4x * (-3 + 4x)) + -1(6x + -2) + 18 = 0
((-3 * 3 + 4x * 3) + 4x * (-3 + 4x)) + -1(6x + -2) + 18 = 0
((-9 + 12x) + 4x * (-3 + 4x)) + -1(6x + -2) + 18 = 0
(-9 + 12x + (-3 * 4x + 4x * 4x)) + -1(6x + -2) + 18 = 0
(-9 + 12x + (-12x + 16x2)) + -1(6x + -2) + 18 = 0

Combine like terms: 12x + -12x = 0
(-9 + 0 + 16x2) + -1(6x + -2) + 18 = 0
(-9 + 16x2) + -1(6x + -2) + 18 = 0

Reorder the terms:
-9 + 16x2 + -1(-2 + 6x) + 18 = 0
-9 + 16x2 + (-2 * -1 + 6x * -1) + 18 = 0
-9 + 16x2 + (2 + -6x) + 18 = 0

Reorder the terms:
-9 + 2 + 18 + -6x + 16x2 = 0

Combine like terms: -9 + 2 = -7
-7 + 18 + -6x + 16x2 = 0

Combine like terms: -7 + 18 = 11
11 + -6x + 16x2 = 0

Solving
11 + -6x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
0.6875 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-0.6875' to each side of the equation.
0.6875 + -0.375x + -0.6875 + x2 = 0 + -0.6875

Reorder the terms:
0.6875 + -0.6875 + -0.375x + x2 = 0 + -0.6875

Combine like terms: 0.6875 + -0.6875 = 0.0000
0.0000 + -0.375x + x2 = 0 + -0.6875
-0.375x + x2 = 0 + -0.6875

Combine like terms: 0 + -0.6875 = -0.6875
-0.375x + x2 = -0.6875

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -0.6875 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -0.6875 + 0.03515625

Combine like terms: -0.6875 + 0.03515625 = -0.65234375
0.03515625 + -0.375x + x2 = -0.65234375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -0.65234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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