-9x(x^2-7x+15)=

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Solution for -9x(x^2-7x+15)= equation: 


Simplifying
-9x(x2 + -7x + 15) = 0

Reorder the terms:
-9x(15 + -7x + x2) = 0
(15 * -9x + -7x * -9x + x2 * -9x) = 0
(-135x + 63x2 + -9x3) = 0

Solving
-135x + 63x2 + -9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-15 + 7x + -1x2) = 0

Ignore the factor 9.

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 '(-15 + 7x + -1x2)' equal to zero and attempt to solve:

Simplifying
-15 + 7x + -1x2 = 0

Solving
-15 + 7x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
15 + -7x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -7x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -7x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -7x + x2 = 0 + -15
-7x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-7x + x2 = -15

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -15 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -15 + 12.25

Combine like terms: -15 + 12.25 = -2.75
12.25 + -7x + x2 = -2.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -2.75

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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