2x[5x^2-2(x-1)]=

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Solution for 2x[5x^2-2(x-1)]= equation: 


Simplifying
2x[5x2 + -2(x + -1)] = 0

Reorder the terms:
2x[5x2 + -2(-1 + x)] = 0
2x[5x2 + (-1 * -2 + x * -2)] = 0
2x[5x2 + (2 + -2x)] = 0

Reorder the terms:
2x[2 + -2x + 5x2] = 0
[2 * 2x + -2x * 2x + 5x2 * 2x] = 0
[4x + -4x2 + 10x3] = 0

Solving
4x + -4x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -2x + 5x2) = 0

Ignore the factor 2.

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 '(2 + -2x + 5x2)' equal to zero and attempt to solve:

Simplifying
2 + -2x + 5x2 = 0

Solving
2 + -2x + 5x2 = 0

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

Divide each side by '5'.
0.4 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.4x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.4x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.4x + x2 = 0 + -0.4
-0.4x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.4x + x2 = -0.4

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.4 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.4 + 0.04

Combine like terms: -0.4 + 0.04 = -0.36
0.04 + -0.4x + x2 = -0.36

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -0.36

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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