4x*4x-21x+39=3x+4

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Solution for 4x*4x-21x+39=3x+4 equation: 


Simplifying
4x * 4x + -21x + 39 = 3x + 4

Reorder the terms for easier multiplication:
4 * 4x * x + -21x + 39 = 3x + 4

Multiply 4 * 4
16x * x + -21x + 39 = 3x + 4

Multiply x * x
16x2 + -21x + 39 = 3x + 4

Reorder the terms:
39 + -21x + 16x2 = 3x + 4

Reorder the terms:
39 + -21x + 16x2 = 4 + 3x

Solving
39 + -21x + 16x2 = 4 + 3x

Solving for variable 'x'.

Reorder the terms:
39 + -4 + -21x + -3x + 16x2 = 4 + 3x + -4 + -3x

Combine like terms: 39 + -4 = 35
35 + -21x + -3x + 16x2 = 4 + 3x + -4 + -3x

Combine like terms: -21x + -3x = -24x
35 + -24x + 16x2 = 4 + 3x + -4 + -3x

Reorder the terms:
35 + -24x + 16x2 = 4 + -4 + 3x + -3x

Combine like terms: 4 + -4 = 0
35 + -24x + 16x2 = 0 + 3x + -3x
35 + -24x + 16x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
35 + -24x + 16x2 = 0

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

Divide each side by '16'.
2.1875 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2.1875' to each side of the equation.
2.1875 + -1.5x + -2.1875 + x2 = 0 + -2.1875

Reorder the terms:
2.1875 + -2.1875 + -1.5x + x2 = 0 + -2.1875

Combine like terms: 2.1875 + -2.1875 = 0.0000
0.0000 + -1.5x + x2 = 0 + -2.1875
-1.5x + x2 = 0 + -2.1875

Combine like terms: 0 + -2.1875 = -2.1875
-1.5x + x2 = -2.1875

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -2.1875 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2.1875 + 0.5625

Combine like terms: -2.1875 + 0.5625 = -1.625
0.5625 + -1.5x + x2 = -1.625

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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