3x(x-5)-3x=-30

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Solution for 3x(x-5)-3x=-30 equation: 


Simplifying
3x(x + -5) + -3x = -30

Reorder the terms:
3x(-5 + x) + -3x = -30
(-5 * 3x + x * 3x) + -3x = -30
(-15x + 3x2) + -3x = -30

Reorder the terms:
-15x + -3x + 3x2 = -30

Combine like terms: -15x + -3x = -18x
-18x + 3x2 = -30

Solving
-18x + 3x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + -18x + 3x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -18x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -6x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
10 + -6x + x2 = 0

Solving
10 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -6x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x + x2 = 0 + -10
-6x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6x + x2 = -10

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -10 + 9

Reorder the terms:
9 + -6x + x2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6x + x2 = -1

Factor a perfect square on the left side:
(x + -3)(x + -3) = -1

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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