2x[7x^2-3(x-3)]=

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Solution for 2x[7x^2-3(x-3)]= equation: 


Simplifying
2x[7x2 + -3(x + -3)] = 0

Reorder the terms:
2x[7x2 + -3(-3 + x)] = 0
2x[7x2 + (-3 * -3 + x * -3)] = 0
2x[7x2 + (9 + -3x)] = 0

Reorder the terms:
2x[9 + -3x + 7x2] = 0
[9 * 2x + -3x * 2x + 7x2 * 2x] = 0
[18x + -6x2 + 14x3] = 0

Solving
18x + -6x2 + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9 + -3x + 7x2) = 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 '(9 + -3x + 7x2)' equal to zero and attempt to solve:

Simplifying
9 + -3x + 7x2 = 0

Solving
9 + -3x + 7x2 = 0

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

Divide each side by '7'.
1.285714286 + -0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -0.4285714286x + -1.285714286 + x2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -0.4285714286x + x2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -0.4285714286x + x2 = 0 + -1.285714286
-0.4285714286x + x2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-0.4285714286x + x2 = -1.285714286

The x term is -0.4285714286x.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286x + 0.04591836735 + x2 = -1.285714286 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286x + x2 = -1.285714286 + 0.04591836735

Combine like terms: -1.285714286 + 0.04591836735 = -1.23979591865
0.04591836735 + -0.4285714286x + x2 = -1.23979591865

Factor a perfect square on the left side:
(x + -0.2142857143)(x + -0.2142857143) = -1.23979591865

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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