4x*4x-6x+9=6x

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Solution for 4x*4x-6x+9=6x equation:


Simplifying
4x * 4x + -6x + 9 = 6x

Reorder the terms for easier multiplication:
4 * 4x * x + -6x + 9 = 6x

Multiply 4 * 4
16x * x + -6x + 9 = 6x

Multiply x * x
16x2 + -6x + 9 = 6x

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

Solving
9 + -6x + 16x2 = 6x

Solving for variable 'x'.

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

Combine like terms: -6x + -6x = -12x
9 + -12x + 16x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -12x + 16x2 = 0

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

Divide each side by '16'.
0.5625 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-0.5625' to each side of the equation.
0.5625 + -0.75x + -0.5625 + x2 = 0 + -0.5625

Reorder the terms:
0.5625 + -0.5625 + -0.75x + x2 = 0 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + -0.75x + x2 = 0 + -0.5625
-0.75x + x2 = 0 + -0.5625

Combine like terms: 0 + -0.5625 = -0.5625
-0.75x + x2 = -0.5625

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.5625 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.5625 + 0.140625

Combine like terms: -0.5625 + 0.140625 = -0.421875
0.140625 + -0.75x + x2 = -0.421875

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -0.421875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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