0=2x^2+12x+20

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Solution for 0=2x^2+12x+20 equation:


Simplifying
0 = 2x2 + 12x + 20

Reorder the terms:
0 = 20 + 12x + 2x2

Solving
0 = 20 + 12x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + -12x + -2x2 = 20 + 12x + 2x2 + -20 + -12x + -2x2

Reorder the terms:
-20 + -12x + -2x2 = 20 + -20 + 12x + -12x + 2x2 + -2x2

Combine like terms: 20 + -20 = 0
-20 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2
-20 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
-20 + -12x + -2x2 = 0 + 2x2 + -2x2
-20 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(10 + 6x + x2) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(10 + 6x + x2)' equal to zero and attempt to solve: Simplifying 10 + 6x + x2 = 0 Solving 10 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + x2 = 0 + -10 6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 6x + x2 = -10 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -10 + 9 Reorder the terms: 9 + 6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6x + x2 = -1 Factor a perfect square on the left side: (x + 3)(x + 3) = -1 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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