-10x^2-3x-3=0

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Solution for -10x^2-3x-3=0 equation: 


Simplifying
-10x2 + -3x + -3 = 0

Reorder the terms:
-3 + -3x + -10x2 = 0

Solving
-3 + -3x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 3x + 10x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3 + 3x + 10x2)' equal to zero and attempt to solve:

Simplifying
3 + 3x + 10x2 = 0

Solving
3 + 3x + 10x2 = 0

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

Divide each side by '10'.
0.3 + 0.3x + x2 = 0.0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + 0.3x + -0.3 + x2 = 0.0 + -0.3

Reorder the terms:
0.3 + -0.3 + 0.3x + x2 = 0.0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.3x + x2 = 0.0 + -0.3
0.3x + x2 = 0.0 + -0.3

Combine like terms: 0.0 + -0.3 = -0.3
0.3x + x2 = -0.3

The x term is 0.3x.  Take half its coefficient (0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
0.3x + 0.0225 + x2 = -0.3 + 0.0225

Reorder the terms:
0.0225 + 0.3x + x2 = -0.3 + 0.0225

Combine like terms: -0.3 + 0.0225 = -0.2775
0.0225 + 0.3x + x2 = -0.2775

Factor a perfect square on the left side:
(x + 0.15)(x + 0.15) = -0.2775

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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