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

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


Simplifying
(7x2 + -4x + -7)(2x + 8) = 0

Reorder the terms:
(-7 + -4x + 7x2)(2x + 8) = 0

Reorder the terms:
(-7 + -4x + 7x2)(8 + 2x) = 0

Multiply (-7 + -4x + 7x2) * (8 + 2x)
(-7(8 + 2x) + -4x * (8 + 2x) + 7x2 * (8 + 2x)) = 0
((8 * -7 + 2x * -7) + -4x * (8 + 2x) + 7x2 * (8 + 2x)) = 0
((-56 + -14x) + -4x * (8 + 2x) + 7x2 * (8 + 2x)) = 0
(-56 + -14x + (8 * -4x + 2x * -4x) + 7x2 * (8 + 2x)) = 0
(-56 + -14x + (-32x + -8x2) + 7x2 * (8 + 2x)) = 0
(-56 + -14x + -32x + -8x2 + (8 * 7x2 + 2x * 7x2)) = 0
(-56 + -14x + -32x + -8x2 + (56x2 + 14x3)) = 0

Combine like terms: -14x + -32x = -46x
(-56 + -46x + -8x2 + 56x2 + 14x3) = 0

Combine like terms: -8x2 + 56x2 = 48x2
(-56 + -46x + 48x2 + 14x3) = 0

Solving
-56 + -46x + 48x2 + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + -23x + 24x2 + 7x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-28 + -23x + 24x2 + 7x3)' equal to zero and attempt to solve: Simplifying -28 + -23x + 24x2 + 7x3 = 0 Solving -28 + -23x + 24x2 + 7x3 = 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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