(6-x^2)-(36+12x+x^2)=

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Solution for (6-x^2)-(36+12x+x^2)= equation:


Simplifying
(6 + -1x2) + -1(36 + 12x + x2) = 0

Remove parenthesis around (6 + -1x2)
6 + -1x2 + -1(36 + 12x + x2) = 0
6 + -1x2 + (36 * -1 + 12x * -1 + x2 * -1) = 0
6 + -1x2 + (-36 + -12x + -1x2) = 0

Reorder the terms:
6 + -36 + -12x + -1x2 + -1x2 = 0

Combine like terms: 6 + -36 = -30
-30 + -12x + -1x2 + -1x2 = 0

Combine like terms: -1x2 + -1x2 = -2x2
-30 + -12x + -2x2 = 0

Solving
-30 + -12x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(15 + 6x + x2) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(15 + 6x + x2)' equal to zero and attempt to solve: Simplifying 15 + 6x + x2 = 0 Solving 15 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 6x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 6x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6x + x2 = 0 + -15 6x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 6x + x2 = -15 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 = -15 + 9 Reorder the terms: 9 + 6x + x2 = -15 + 9 Combine like terms: -15 + 9 = -6 9 + 6x + x2 = -6 Factor a perfect square on the left side: (x + 3)(x + 3) = -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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