0=x^2+8x+225

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Solution for 0=x^2+8x+225 equation:


Simplifying
0 = x2 + 8x + 225

Reorder the terms:
0 = 225 + 8x + x2

Solving
0 = 225 + 8x + x2

Solving for variable 'x'.

Combine like terms: 0 + -225 = -225
-225 + -8x + -1x2 = 225 + 8x + x2 + -225 + -8x + -1x2

Reorder the terms:
-225 + -8x + -1x2 = 225 + -225 + 8x + -8x + x2 + -1x2

Combine like terms: 225 + -225 = 0
-225 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-225 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-225 + -8x + -1x2 = 0 + x2 + -1x2
-225 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-225 + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(225 + 8x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(225 + 8x + x2)' equal to zero and attempt to solve: Simplifying 225 + 8x + x2 = 0 Solving 225 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-225' to each side of the equation. 225 + 8x + -225 + x2 = 0 + -225 Reorder the terms: 225 + -225 + 8x + x2 = 0 + -225 Combine like terms: 225 + -225 = 0 0 + 8x + x2 = 0 + -225 8x + x2 = 0 + -225 Combine like terms: 0 + -225 = -225 8x + x2 = -225 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -225 + 16 Reorder the terms: 16 + 8x + x2 = -225 + 16 Combine like terms: -225 + 16 = -209 16 + 8x + x2 = -209 Factor a perfect square on the left side: (x + 4)(x + 4) = -209 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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