2*(x-1)*2x^2+3x*2x^2=7x(x-1)

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Solution for 2*(x-1)*2x^2+3x*2x^2=7x(x-1) equation: 


Simplifying
2(x + -1) * 2x2 + 3x * 2x2 = 7x(x + -1)

Reorder the terms:
2(-1 + x) * 2x2 + 3x * 2x2 = 7x(x + -1)

Reorder the terms for easier multiplication:
2 * 2x2(-1 + x) + 3x * 2x2 = 7x(x + -1)

Multiply 2 * 2
4x2(-1 + x) + 3x * 2x2 = 7x(x + -1)
(-1 * 4x2 + x * 4x2) + 3x * 2x2 = 7x(x + -1)
(-4x2 + 4x3) + 3x * 2x2 = 7x(x + -1)

Reorder the terms for easier multiplication:
-4x2 + 4x3 + 3 * 2x * x2 = 7x(x + -1)

Multiply 3 * 2
-4x2 + 4x3 + 6x * x2 = 7x(x + -1)

Multiply x * x2
-4x2 + 4x3 + 6x3 = 7x(x + -1)

Combine like terms: 4x3 + 6x3 = 10x3
-4x2 + 10x3 = 7x(x + -1)

Reorder the terms:
-4x2 + 10x3 = 7x(-1 + x)
-4x2 + 10x3 = (-1 * 7x + x * 7x)
-4x2 + 10x3 = (-7x + 7x2)

Solving
-4x2 + 10x3 = -7x + 7x2

Solving for variable 'x'.

Reorder the terms:
7x + -4x2 + -7x2 + 10x3 = -7x + 7x2 + 7x + -7x2

Combine like terms: -4x2 + -7x2 = -11x2
7x + -11x2 + 10x3 = -7x + 7x2 + 7x + -7x2

Reorder the terms:
7x + -11x2 + 10x3 = -7x + 7x + 7x2 + -7x2

Combine like terms: -7x + 7x = 0
7x + -11x2 + 10x3 = 0 + 7x2 + -7x2
7x + -11x2 + 10x3 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
7x + -11x2 + 10x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -11x + 10x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + -11x + 10x2)' equal to zero and attempt to solve:

Simplifying
7 + -11x + 10x2 = 0

Solving
7 + -11x + 10x2 = 0

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

Divide each side by '10'.
0.7 + -1.1x + x2 = 0.0

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + -1.1x + -0.7 + x2 = 0.0 + -0.7

Reorder the terms:
0.7 + -0.7 + -1.1x + x2 = 0.0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -1.1x + x2 = 0.0 + -0.7
-1.1x + x2 = 0.0 + -0.7

Combine like terms: 0.0 + -0.7 = -0.7
-1.1x + x2 = -0.7

The x term is -1.1x.  Take half its coefficient (-0.55).
Square it (0.3025) and add it to both sides.

Add '0.3025' to each side of the equation.
-1.1x + 0.3025 + x2 = -0.7 + 0.3025

Reorder the terms:
0.3025 + -1.1x + x2 = -0.7 + 0.3025

Combine like terms: -0.7 + 0.3025 = -0.3975
0.3025 + -1.1x + x2 = -0.3975

Factor a perfect square on the left side:
(x + -0.55)(x + -0.55) = -0.3975

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.
Solution
x = {0}

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