2x(5x+9)=-30+8

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Solution for 2x(5x+9)=-30+8 equation: 


Simplifying
2x(5x + 9) = -30 + 8

Reorder the terms:
2x(9 + 5x) = -30 + 8
(9 * 2x + 5x * 2x) = -30 + 8
(18x + 10x2) = -30 + 8

Combine like terms: -30 + 8 = -22
18x + 10x2 = -22

Solving
18x + 10x2 = -22

Solving for variable 'x'.

Reorder the terms:
22 + 18x + 10x2 = -22 + 22

Combine like terms: -22 + 22 = 0
22 + 18x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 9x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + 9x + 5x2)' equal to zero and attempt to solve:

Simplifying
11 + 9x + 5x2 = 0

Solving
11 + 9x + 5x2 = 0

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

Divide each side by '5'.
2.2 + 1.8x + x2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + 1.8x + -2.2 + x2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + 1.8x + x2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 1.8x + x2 = 0 + -2.2
1.8x + x2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
1.8x + x2 = -2.2

The x term is 1.8x.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8x + 0.81 + x2 = -2.2 + 0.81

Reorder the terms:
0.81 + 1.8x + x2 = -2.2 + 0.81

Combine like terms: -2.2 + 0.81 = -1.39
0.81 + 1.8x + x2 = -1.39

Factor a perfect square on the left side:
(x + 0.9)(x + 0.9) = -1.39

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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