(4x^2-28x-8x+56)(x+7)=0

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Solution for (4x^2-28x-8x+56)(x+7)=0 equation:


Simplifying
(4x2 + -28x + -8x + 56)(x + 7) = 0

Reorder the terms:
(56 + -28x + -8x + 4x2)(x + 7) = 0

Combine like terms: -28x + -8x = -36x
(56 + -36x + 4x2)(x + 7) = 0

Reorder the terms:
(56 + -36x + 4x2)(7 + x) = 0

Multiply (56 + -36x + 4x2) * (7 + x)
(56(7 + x) + -36x * (7 + x) + 4x2 * (7 + x)) = 0
((7 * 56 + x * 56) + -36x * (7 + x) + 4x2 * (7 + x)) = 0
((392 + 56x) + -36x * (7 + x) + 4x2 * (7 + x)) = 0
(392 + 56x + (7 * -36x + x * -36x) + 4x2 * (7 + x)) = 0
(392 + 56x + (-252x + -36x2) + 4x2 * (7 + x)) = 0
(392 + 56x + -252x + -36x2 + (7 * 4x2 + x * 4x2)) = 0
(392 + 56x + -252x + -36x2 + (28x2 + 4x3)) = 0

Combine like terms: 56x + -252x = -196x
(392 + -196x + -36x2 + 28x2 + 4x3) = 0

Combine like terms: -36x2 + 28x2 = -8x2
(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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