-2x+5x(6x+16)=-144

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Solution for -2x+5x(6x+16)=-144 equation: 


Simplifying
-2x + 5x(6x + 16) = -144

Reorder the terms:
-2x + 5x(16 + 6x) = -144
-2x + (16 * 5x + 6x * 5x) = -144
-2x + (80x + 30x2) = -144

Combine like terms: -2x + 80x = 78x
78x + 30x2 = -144

Solving
78x + 30x2 = -144

Solving for variable 'x'.

Reorder the terms:
144 + 78x + 30x2 = -144 + 144

Combine like terms: -144 + 144 = 0
144 + 78x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(24 + 13x + 5x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(24 + 13x + 5x2)' equal to zero and attempt to solve:

Simplifying
24 + 13x + 5x2 = 0

Solving
24 + 13x + 5x2 = 0

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

Divide each side by '5'.
4.8 + 2.6x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + 2.6x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + 2.6x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 2.6x + x2 = 0 + -4.8
2.6x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
2.6x + x2 = -4.8

The x term is 2.6x.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6x + 1.69 + x2 = -4.8 + 1.69

Reorder the terms:
1.69 + 2.6x + x2 = -4.8 + 1.69

Combine like terms: -4.8 + 1.69 = -3.11
1.69 + 2.6x + x2 = -3.11

Factor a perfect square on the left side:
(x + 1.3)(x + 1.3) = -3.11

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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