3(x^2+6x+32)=0

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Solution for 3(x^2+6x+32)=0 equation:


Simplifying
3(x2 + 6x + 32) = 0

Reorder the terms:
3(32 + 6x + x2) = 0
(32 * 3 + 6x * 3 + x2 * 3) = 0
(96 + 18x + 3x2) = 0

Solving
96 + 18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(32 + 6x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(32 + 6x + x2)' equal to zero and attempt to solve: Simplifying 32 + 6x + x2 = 0 Solving 32 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 6x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 6x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 6x + x2 = 0 + -32 6x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 6x + x2 = -32 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 = -32 + 9 Reorder the terms: 9 + 6x + x2 = -32 + 9 Combine like terms: -32 + 9 = -23 9 + 6x + x2 = -23 Factor a perfect square on the left side: (x + 3)(x + 3) = -23 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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