15x(-2-x)-12=4

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Solution for 15x(-2-x)-12=4 equation: 


Simplifying
15x(-2 + -1x) + -12 = 4
(-2 * 15x + -1x * 15x) + -12 = 4
(-30x + -15x2) + -12 = 4

Reorder the terms:
-12 + -30x + -15x2 = 4

Solving
-12 + -30x + -15x2 = 4

Solving for variable 'x'.

Reorder the terms:
-12 + -4 + -30x + -15x2 = 4 + -4

Combine like terms: -12 + -4 = -16
-16 + -30x + -15x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-16 + -30x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 30x + 15x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(16 + 30x + 15x2)' equal to zero and attempt to solve:

Simplifying
16 + 30x + 15x2 = 0

Solving
16 + 30x + 15x2 = 0

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

Divide each side by '15'.
1.066666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.066666667' to each side of the equation.
1.066666667 + 2x + -1.066666667 + x2 = 0 + -1.066666667

Reorder the terms:
1.066666667 + -1.066666667 + 2x + x2 = 0 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.066666667
2x + x2 = 0 + -1.066666667

Combine like terms: 0 + -1.066666667 = -1.066666667
2x + x2 = -1.066666667

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1.066666667 + 1

Reorder the terms:
1 + 2x + x2 = -1.066666667 + 1

Combine like terms: -1.066666667 + 1 = -0.066666667
1 + 2x + x2 = -0.066666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.066666667

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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