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

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Solution for 4(x-2)(x-7)(x+7)=0 equation: 


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

Reorder the terms:
4(-2 + x)(x + -7)(x + 7) = 0

Reorder the terms:
4(-2 + x)(-7 + x)(x + 7) = 0

Reorder the terms:
4(-2 + x)(-7 + x)(7 + x) = 0

Multiply (-2 + x) * (-7 + x)
4(-2(-7 + x) + x(-7 + x))(7 + x) = 0
4((-7 * -2 + x * -2) + x(-7 + x))(7 + x) = 0
4((14 + -2x) + x(-7 + x))(7 + x) = 0
4(14 + -2x + (-7 * x + x * x))(7 + x) = 0
4(14 + -2x + (-7x + x2))(7 + x) = 0

Combine like terms: -2x + -7x = -9x
4(14 + -9x + x2)(7 + x) = 0

Multiply (14 + -9x + x2) * (7 + x)
4(14(7 + x) + -9x * (7 + x) + x2(7 + x)) = 0
4((7 * 14 + x * 14) + -9x * (7 + x) + x2(7 + x)) = 0
4((98 + 14x) + -9x * (7 + x) + x2(7 + x)) = 0
4(98 + 14x + (7 * -9x + x * -9x) + x2(7 + x)) = 0
4(98 + 14x + (-63x + -9x2) + x2(7 + x)) = 0
4(98 + 14x + -63x + -9x2 + (7 * x2 + x * x2)) = 0
4(98 + 14x + -63x + -9x2 + (7x2 + x3)) = 0

Combine like terms: 14x + -63x = -49x
4(98 + -49x + -9x2 + 7x2 + x3) = 0

Combine like terms: -9x2 + 7x2 = -2x2
4(98 + -49x + -2x2 + x3) = 0
(98 * 4 + -49x * 4 + -2x2 * 4 + x3 * 4) = 0
(392 + -196x + -8x2 + 4x3) = 0

Solving
392 + -196x + -8x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(98 + -49x + -2x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(98 + -49x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
98 + -49x + -2x2 + x3 = 0

Solving
98 + -49x + -2x2 + x3 = 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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