-6(x-7)(x+2)(x+2)=0

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Solution for -6(x-7)(x+2)(x+2)=0 equation: 


Simplifying
-6(x + -7)(x + 2)(x + 2) = 0

Reorder the terms:
-6(-7 + x)(x + 2)(x + 2) = 0

Reorder the terms:
-6(-7 + x)(2 + x)(x + 2) = 0

Reorder the terms:
-6(-7 + x)(2 + x)(2 + x) = 0

Multiply (-7 + x) * (2 + x)
-6(-7(2 + x) + x(2 + x))(2 + x) = 0
-6((2 * -7 + x * -7) + x(2 + x))(2 + x) = 0
-6((-14 + -7x) + x(2 + x))(2 + x) = 0
-6(-14 + -7x + (2 * x + x * x))(2 + x) = 0
-6(-14 + -7x + (2x + x2))(2 + x) = 0

Combine like terms: -7x + 2x = -5x
-6(-14 + -5x + x2)(2 + x) = 0

Multiply (-14 + -5x + x2) * (2 + x)
-6(-14(2 + x) + -5x * (2 + x) + x2(2 + x)) = 0
-6((2 * -14 + x * -14) + -5x * (2 + x) + x2(2 + x)) = 0
-6((-28 + -14x) + -5x * (2 + x) + x2(2 + x)) = 0
-6(-28 + -14x + (2 * -5x + x * -5x) + x2(2 + x)) = 0
-6(-28 + -14x + (-10x + -5x2) + x2(2 + x)) = 0
-6(-28 + -14x + -10x + -5x2 + (2 * x2 + x * x2)) = 0
-6(-28 + -14x + -10x + -5x2 + (2x2 + x3)) = 0

Combine like terms: -14x + -10x = -24x
-6(-28 + -24x + -5x2 + 2x2 + x3) = 0

Combine like terms: -5x2 + 2x2 = -3x2
-6(-28 + -24x + -3x2 + x3) = 0
(-28 * -6 + -24x * -6 + -3x2 * -6 + x3 * -6) = 0
(168 + 144x + 18x2 + -6x3) = 0

Solving
168 + 144x + 18x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(28 + 24x + 3x2 + -1x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(28 + 24x + 3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
28 + 24x + 3x2 + -1x3 = 0

Solving
28 + 24x + 3x2 + -1x3 = 0

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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