10x^2+28x+40=0

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Solution for 10x^2+28x+40=0 equation: 


Simplifying
10x2 + 28x + 40 = 0

Reorder the terms:
40 + 28x + 10x2 = 0

Solving
40 + 28x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 14x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + 14x + 5x2)' equal to zero and attempt to solve:

Simplifying
20 + 14x + 5x2 = 0

Solving
20 + 14x + 5x2 = 0

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

Divide each side by '5'.
4 + 2.8x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 2.8x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 2.8x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2.8x + x2 = 0 + -4
2.8x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
2.8x + x2 = -4

The x term is 2.8x.  Take half its coefficient (1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
2.8x + 1.96 + x2 = -4 + 1.96

Reorder the terms:
1.96 + 2.8x + x2 = -4 + 1.96

Combine like terms: -4 + 1.96 = -2.04
1.96 + 2.8x + x2 = -2.04

Factor a perfect square on the left side:
(x + 1.4)(x + 1.4) = -2.04

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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