6x+(3x-7)=4x(4x-1)

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Solution for 6x+(3x-7)=4x(4x-1) equation: 


Simplifying
6x + (3x + -7) = 4x(4x + -1)

Reorder the terms:
6x + (-7 + 3x) = 4x(4x + -1)

Remove parenthesis around (-7 + 3x)
6x + -7 + 3x = 4x(4x + -1)

Reorder the terms:
-7 + 6x + 3x = 4x(4x + -1)

Combine like terms: 6x + 3x = 9x
-7 + 9x = 4x(4x + -1)

Reorder the terms:
-7 + 9x = 4x(-1 + 4x)
-7 + 9x = (-1 * 4x + 4x * 4x)
-7 + 9x = (-4x + 16x2)

Solving
-7 + 9x = -4x + 16x2

Solving for variable 'x'.

Combine like terms: 9x + 4x = 13x
-7 + 13x + -16x2 = -4x + 16x2 + 4x + -16x2

Reorder the terms:
-7 + 13x + -16x2 = -4x + 4x + 16x2 + -16x2

Combine like terms: -4x + 4x = 0
-7 + 13x + -16x2 = 0 + 16x2 + -16x2
-7 + 13x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-7 + 13x + -16x2 = 0

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

Divide each side by '-16'.
0.4375 + -0.8125x + x2 = 0

Move the constant term to the right:

Add '-0.4375' to each side of the equation.
0.4375 + -0.8125x + -0.4375 + x2 = 0 + -0.4375

Reorder the terms:
0.4375 + -0.4375 + -0.8125x + x2 = 0 + -0.4375

Combine like terms: 0.4375 + -0.4375 = 0.0000
0.0000 + -0.8125x + x2 = 0 + -0.4375
-0.8125x + x2 = 0 + -0.4375

Combine like terms: 0 + -0.4375 = -0.4375
-0.8125x + x2 = -0.4375

The x term is -0.8125x.  Take half its coefficient (-0.40625).
Square it (0.1650390625) and add it to both sides.

Add '0.1650390625' to each side of the equation.
-0.8125x + 0.1650390625 + x2 = -0.4375 + 0.1650390625

Reorder the terms:
0.1650390625 + -0.8125x + x2 = -0.4375 + 0.1650390625

Combine like terms: -0.4375 + 0.1650390625 = -0.2724609375
0.1650390625 + -0.8125x + x2 = -0.2724609375

Factor a perfect square on the left side:
(x + -0.40625)(x + -0.40625) = -0.2724609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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