(x+6)(x-2)(x+3)=264

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Solution for (x+6)(x-2)(x+3)=264 equation:


Simplifying
(x + 6)(x + -2)(x + 3) = 264

Reorder the terms:
(6 + x)(x + -2)(x + 3) = 264

Reorder the terms:
(6 + x)(-2 + x)(x + 3) = 264

Reorder the terms:
(6 + x)(-2 + x)(3 + x) = 264

Multiply (6 + x) * (-2 + x)
(6(-2 + x) + x(-2 + x))(3 + x) = 264
((-2 * 6 + x * 6) + x(-2 + x))(3 + x) = 264
((-12 + 6x) + x(-2 + x))(3 + x) = 264
(-12 + 6x + (-2 * x + x * x))(3 + x) = 264
(-12 + 6x + (-2x + x2))(3 + x) = 264

Combine like terms: 6x + -2x = 4x
(-12 + 4x + x2)(3 + x) = 264

Multiply (-12 + 4x + x2) * (3 + x)
(-12(3 + x) + 4x * (3 + x) + x2(3 + x)) = 264
((3 * -12 + x * -12) + 4x * (3 + x) + x2(3 + x)) = 264
((-36 + -12x) + 4x * (3 + x) + x2(3 + x)) = 264
(-36 + -12x + (3 * 4x + x * 4x) + x2(3 + x)) = 264
(-36 + -12x + (12x + 4x2) + x2(3 + x)) = 264
(-36 + -12x + 12x + 4x2 + (3 * x2 + x * x2)) = 264
(-36 + -12x + 12x + 4x2 + (3x2 + x3)) = 264

Combine like terms: -12x + 12x = 0
(-36 + 0 + 4x2 + 3x2 + x3) = 264
(-36 + 4x2 + 3x2 + x3) = 264

Combine like terms: 4x2 + 3x2 = 7x2
(-36 + 7x2 + x3) = 264

Solving
-36 + 7x2 + x3 = 264

Solving for variable 'x'.

Reorder the terms:
-36 + -264 + 7x2 + x3 = 264 + -264

Combine like terms: -36 + -264 = -300
-300 + 7x2 + x3 = 264 + -264

Combine like terms: 264 + -264 = 0
-300 + 7x2 + x3 = 0

The solution to this equation could not be determined.

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