-5x(x-3)=15

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Solution for -5x(x-3)=15 equation: 


Simplifying
-5x(x + -3) = 15

Reorder the terms:
-5x(-3 + x) = 15
(-3 * -5x + x * -5x) = 15
(15x + -5x2) = 15

Solving
15x + -5x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + 15x + -5x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 15x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + 3x + -1x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-3 + 3x + -1x2)' equal to zero and attempt to solve:

Simplifying
-3 + 3x + -1x2 = 0

Solving
-3 + 3x + -1x2 = 0

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

Divide each side by '-1'.
3 + -3x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -3x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3x + x2 = 0 + -3
-3x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3x + x2 = -3

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -3 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.75

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.

The solution to this equation could not be determined.

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