3x(5x+2)+4=-35

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Solution for 3x(5x+2)+4=-35 equation: 


Simplifying
3x(5x + 2) + 4 = -35

Reorder the terms:
3x(2 + 5x) + 4 = -35
(2 * 3x + 5x * 3x) + 4 = -35
(6x + 15x2) + 4 = -35

Reorder the terms:
4 + 6x + 15x2 = -35

Solving
4 + 6x + 15x2 = -35

Solving for variable 'x'.

Reorder the terms:
4 + 35 + 6x + 15x2 = -35 + 35

Combine like terms: 4 + 35 = 39
39 + 6x + 15x2 = -35 + 35

Combine like terms: -35 + 35 = 0
39 + 6x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(13 + 2x + 5x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(13 + 2x + 5x2)' equal to zero and attempt to solve:

Simplifying
13 + 2x + 5x2 = 0

Solving
13 + 2x + 5x2 = 0

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

Divide each side by '5'.
2.6 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-2.6' to each side of the equation.
2.6 + 0.4x + -2.6 + x2 = 0 + -2.6

Reorder the terms:
2.6 + -2.6 + 0.4x + x2 = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 0.4x + x2 = 0 + -2.6
0.4x + x2 = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
0.4x + x2 = -2.6

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = -2.6 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -2.6 + 0.04

Combine like terms: -2.6 + 0.04 = -2.56
0.04 + 0.4x + x2 = -2.56

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -2.56

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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