2(x^2-4x-4)+x=x(x+47x)-45x

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Solution for 2(x^2-4x-4)+x=x(x+47x)-45x equation: 


Simplifying
2(x2 + -4x + -4) + x = x(x + 47x) + -45x

Reorder the terms:
2(-4 + -4x + x2) + x = x(x + 47x) + -45x
(-4 * 2 + -4x * 2 + x2 * 2) + x = x(x + 47x) + -45x
(-8 + -8x + 2x2) + x = x(x + 47x) + -45x

Reorder the terms:
-8 + -8x + x + 2x2 = x(x + 47x) + -45x

Combine like terms: -8x + x = -7x
-8 + -7x + 2x2 = x(x + 47x) + -45x

Combine like terms: x + 47x = 48x
-8 + -7x + 2x2 = x(48x) + -45x

Remove parenthesis around (48x)
-8 + -7x + 2x2 = x * 48x + -45x

Reorder the terms for easier multiplication:
-8 + -7x + 2x2 = 48x * x + -45x

Multiply x * x
-8 + -7x + 2x2 = 48x2 + -45x

Reorder the terms:
-8 + -7x + 2x2 = -45x + 48x2

Solving
-8 + -7x + 2x2 = -45x + 48x2

Solving for variable 'x'.

Reorder the terms:
-8 + -7x + 45x + 2x2 + -48x2 = -45x + 48x2 + 45x + -48x2

Combine like terms: -7x + 45x = 38x
-8 + 38x + 2x2 + -48x2 = -45x + 48x2 + 45x + -48x2

Combine like terms: 2x2 + -48x2 = -46x2
-8 + 38x + -46x2 = -45x + 48x2 + 45x + -48x2

Reorder the terms:
-8 + 38x + -46x2 = -45x + 45x + 48x2 + -48x2

Combine like terms: -45x + 45x = 0
-8 + 38x + -46x2 = 0 + 48x2 + -48x2
-8 + 38x + -46x2 = 48x2 + -48x2

Combine like terms: 48x2 + -48x2 = 0
-8 + 38x + -46x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 19x + -23x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 19x + -23x2)' equal to zero and attempt to solve:

Simplifying
-4 + 19x + -23x2 = 0

Solving
-4 + 19x + -23x2 = 0

Begin completing the square.  Divide all terms by
-23 the coefficient of the squared term: 

Divide each side by '-23'.
0.1739130435 + -0.8260869565x + x2 = 0

Move the constant term to the right:

Add '-0.1739130435' to each side of the equation.
0.1739130435 + -0.8260869565x + -0.1739130435 + x2 = 0 + -0.1739130435

Reorder the terms:
0.1739130435 + -0.1739130435 + -0.8260869565x + x2 = 0 + -0.1739130435

Combine like terms: 0.1739130435 + -0.1739130435 = 0.0000000000
0.0000000000 + -0.8260869565x + x2 = 0 + -0.1739130435
-0.8260869565x + x2 = 0 + -0.1739130435

Combine like terms: 0 + -0.1739130435 = -0.1739130435
-0.8260869565x + x2 = -0.1739130435

The x term is -0.8260869565x.  Take half its coefficient (-0.4130434783).
Square it (0.1706049150) and add it to both sides.

Add '0.1706049150' to each side of the equation.
-0.8260869565x + 0.1706049150 + x2 = -0.1739130435 + 0.1706049150

Reorder the terms:
0.1706049150 + -0.8260869565x + x2 = -0.1739130435 + 0.1706049150

Combine like terms: -0.1739130435 + 0.1706049150 = -0.0033081285
0.1706049150 + -0.8260869565x + x2 = -0.0033081285

Factor a perfect square on the left side:
(x + -0.4130434783)(x + -0.4130434783) = -0.0033081285

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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