0=x^2+3x+162

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Solution for 0=x^2+3x+162 equation:


Simplifying
0 = x2 + 3x + 162

Reorder the terms:
0 = 162 + 3x + x2

Solving
0 = 162 + 3x + x2

Solving for variable 'x'.

Combine like terms: 0 + -162 = -162
-162 + -3x + -1x2 = 162 + 3x + x2 + -162 + -3x + -1x2

Reorder the terms:
-162 + -3x + -1x2 = 162 + -162 + 3x + -3x + x2 + -1x2

Combine like terms: 162 + -162 = 0
-162 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
-162 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-162 + -3x + -1x2 = 0 + x2 + -1x2
-162 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-162 + -3x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(162 + 3x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(162 + 3x + x2)' equal to zero and attempt to solve: Simplifying 162 + 3x + x2 = 0 Solving 162 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-162' to each side of the equation. 162 + 3x + -162 + x2 = 0 + -162 Reorder the terms: 162 + -162 + 3x + x2 = 0 + -162 Combine like terms: 162 + -162 = 0 0 + 3x + x2 = 0 + -162 3x + x2 = 0 + -162 Combine like terms: 0 + -162 = -162 3x + x2 = -162 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -162 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -162 + 2.25 Combine like terms: -162 + 2.25 = -159.75 2.25 + 3x + x2 = -159.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -159.75 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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