(2x+7)(2x^2-13+21)=0

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Solution for (2x+7)(2x^2-13+21)=0 equation:


Simplifying
(2x + 7)(2x2 + -13 + 21) = 0

Reorder the terms:
(7 + 2x)(2x2 + -13 + 21) = 0

Reorder the terms:
(7 + 2x)(-13 + 21 + 2x2) = 0

Combine like terms: -13 + 21 = 8
(7 + 2x)(8 + 2x2) = 0

Multiply (7 + 2x) * (8 + 2x2)
(7(8 + 2x2) + 2x * (8 + 2x2)) = 0
((8 * 7 + 2x2 * 7) + 2x * (8 + 2x2)) = 0
((56 + 14x2) + 2x * (8 + 2x2)) = 0
(56 + 14x2 + (8 * 2x + 2x2 * 2x)) = 0
(56 + 14x2 + (16x + 4x3)) = 0

Reorder the terms:
(56 + 16x + 14x2 + 4x3) = 0
(56 + 16x + 14x2 + 4x3) = 0

Solving
56 + 16x + 14x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 8x + 7x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(28 + 8x + 7x2 + 2x3)' equal to zero and attempt to solve: Simplifying 28 + 8x + 7x2 + 2x3 = 0 Solving 28 + 8x + 7x2 + 2x3 = 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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