# 10x^2+12x+18=0

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## Solution for 10x^2+12x+18=0 equation:

Simplifying
10x2 + 12x + 18 = 0

Reorder the terms:
18 + 12x + 10x2 = 0

Solving
18 + 12x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 6x + 5x2) = 0

Ignore the factor 2.
Subproblem 1Set the factor '(9 + 6x + 5x2)' equal to zero and attempt to solve:

Simplifying
9 + 6x + 5x2 = 0

Solving
9 + 6x + 5x2 = 0

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

Divide each side by '5'.
1.8 + 1.2x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + 1.2x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + 1.2x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.2x + x2 = 0 + -1.8
1.2x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
1.2x + x2 = -1.8

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = -1.8 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = -1.8 + 0.36

Combine like terms: -1.8 + 0.36 = -1.44
0.36 + 1.2x + x2 = -1.44

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = -1.44

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.`