(2x)(4-7)(x-7x)*4+7=(x)

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Solution for (2x)(4-7)(x-7x)*4+7=(x) equation:


Simplifying
(2x)(4 + -7)(x + -7x) * 4 + 7 = (x)

Remove parenthesis around (2x)
2x(4 + -7)(x + -7x) * 4 + 7 = (x)

Combine like terms: 4 + -7 = -3
2x(-3)(x + -7x) * 4 + 7 = (x)

Combine like terms: x + -7x = -6x
2x * -3(-6x) * 4 + 7 = (x)

Remove parenthesis around (-6x)
2x * -3 * -6x * 4 + 7 = (x)

Reorder the terms for easier multiplication:
2 * -3 * -6 * 4x * x + 7 = (x)

Multiply 2 * -3
-6 * -6 * 4x * x + 7 = (x)

Multiply -6 * -6
36 * 4x * x + 7 = (x)

Multiply 36 * 4
144x * x + 7 = (x)

Multiply x * x
144x2 + 7 = (x)

Reorder the terms:
7 + 144x2 = (x)
7 + 144x2 = x

Solving
7 + 144x2 = x

Solving for variable 'x'.

Reorder the terms:
7 + -1x + 144x2 = x + -1x

Combine like terms: x + -1x = 0
7 + -1x + 144x2 = 0

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

Divide each side by '144'.
0.04861111111 + -0.006944444444x + x2 = 0

Move the constant term to the right:

Add '-0.04861111111' to each side of the equation.
0.04861111111 + -0.006944444444x + -0.04861111111 + x2 = 0 + -0.04861111111

Reorder the terms:
0.04861111111 + -0.04861111111 + -0.006944444444x + x2 = 0 + -0.04861111111

Combine like terms: 0.04861111111 + -0.04861111111 = 0.00000000000
0.00000000000 + -0.006944444444x + x2 = 0 + -0.04861111111
-0.006944444444x + x2 = 0 + -0.04861111111

Combine like terms: 0 + -0.04861111111 = -0.04861111111
-0.006944444444x + x2 = -0.04861111111

The x term is -0.006944444444x.  Take half its coefficient (-0.003472222222).
Square it (0.00001205632716) and add it to both sides.

Add '0.00001205632716' to each side of the equation.
-0.006944444444x + 0.00001205632716 + x2 = -0.04861111111 + 0.00001205632716

Reorder the terms:
0.00001205632716 + -0.006944444444x + x2 = -0.04861111111 + 0.00001205632716

Combine like terms: -0.04861111111 + 0.00001205632716 = -0.04859905478284
0.00001205632716 + -0.006944444444x + x2 = -0.04859905478284

Factor a perfect square on the left side:
(x + -0.003472222222)(x + -0.003472222222) = -0.04859905478284

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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