5x-1=-4x*4x-6

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Solution for 5x-1=-4x*4x-6 equation:


Simplifying
5x + -1 = -4x * 4x + -6

Reorder the terms:
-1 + 5x = -4x * 4x + -6

Reorder the terms for easier multiplication:
-1 + 5x = -4 * 4x * x + -6

Multiply -4 * 4
-1 + 5x = -16x * x + -6

Multiply x * x
-1 + 5x = -16x2 + -6

Reorder the terms:
-1 + 5x = -6 + -16x2

Solving
-1 + 5x = -6 + -16x2

Solving for variable 'x'.

Reorder the terms:
-1 + 6 + 5x + 16x2 = -6 + -16x2 + 6 + 16x2

Combine like terms: -1 + 6 = 5
5 + 5x + 16x2 = -6 + -16x2 + 6 + 16x2

Reorder the terms:
5 + 5x + 16x2 = -6 + 6 + -16x2 + 16x2

Combine like terms: -6 + 6 = 0
5 + 5x + 16x2 = 0 + -16x2 + 16x2
5 + 5x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
5 + 5x + 16x2 = 0

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

Divide each side by '16'.
0.3125 + 0.3125x + x2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + 0.3125x + -0.3125 + x2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + 0.3125x + x2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + 0.3125x + x2 = 0 + -0.3125
0.3125x + x2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
0.3125x + x2 = -0.3125

The x term is 0.3125x.  Take half its coefficient (0.15625).
Square it (0.0244140625) and add it to both sides.

Add '0.0244140625' to each side of the equation.
0.3125x + 0.0244140625 + x2 = -0.3125 + 0.0244140625

Reorder the terms:
0.0244140625 + 0.3125x + x2 = -0.3125 + 0.0244140625

Combine like terms: -0.3125 + 0.0244140625 = -0.2880859375
0.0244140625 + 0.3125x + x2 = -0.2880859375

Factor a perfect square on the left side:
(x + 0.15625)(x + 0.15625) = -0.2880859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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