-3x(6x^2-3x+5)=

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Solution for -3x(6x^2-3x+5)= equation: 


Simplifying
-3x(6x2 + -3x + 5) = 0

Reorder the terms:
-3x(5 + -3x + 6x2) = 0
(5 * -3x + -3x * -3x + 6x2 * -3x) = 0
(-15x + 9x2 + -18x3) = 0

Solving
-15x + 9x2 + -18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-5 + 3x + -6x2) = 0

Ignore the factor 3.

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 '(-5 + 3x + -6x2)' equal to zero and attempt to solve:

Simplifying
-5 + 3x + -6x2 = 0

Solving
-5 + 3x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.8333333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.5x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.5x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.5x + x2 = 0 + -0.8333333333
-0.5x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.5x + x2 = -0.8333333333

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.8333333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.8333333333 + 0.0625

Combine like terms: -0.8333333333 + 0.0625 = -0.7708333333
0.0625 + -0.5x + x2 = -0.7708333333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.7708333333

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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