0=5x^2+20x+50

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Solution for 0=5x^2+20x+50 equation:


Simplifying
0 = 5x2 + 20x + 50

Reorder the terms:
0 = 50 + 20x + 5x2

Solving
0 = 50 + 20x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + -50 = -50
-50 + -20x + -5x2 = 50 + 20x + 5x2 + -50 + -20x + -5x2

Reorder the terms:
-50 + -20x + -5x2 = 50 + -50 + 20x + -20x + 5x2 + -5x2

Combine like terms: 50 + -50 = 0
-50 + -20x + -5x2 = 0 + 20x + -20x + 5x2 + -5x2
-50 + -20x + -5x2 = 20x + -20x + 5x2 + -5x2

Combine like terms: 20x + -20x = 0
-50 + -20x + -5x2 = 0 + 5x2 + -5x2
-50 + -20x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-50 + -20x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-5'.
-5(10 + 4x + x2) = 0

Ignore the factor -5.

Subproblem 1

Set the factor '(10 + 4x + x2)' equal to zero and attempt to solve: Simplifying 10 + 4x + x2 = 0 Solving 10 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 4x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 4x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + x2 = 0 + -10 4x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 4x + x2 = -10 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -10 + 4 Reorder the terms: 4 + 4x + x2 = -10 + 4 Combine like terms: -10 + 4 = -6 4 + 4x + x2 = -6 Factor a perfect square on the left side: (x + 2)(x + 2) = -6 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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