(7x^3+6)(x^3+4)=

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Solution for (7x^3+6)(x^3+4)= equation:


Simplifying
(7x3 + 6)(x3 + 4) = 0

Reorder the terms:
(6 + 7x3)(x3 + 4) = 0

Reorder the terms:
(6 + 7x3)(4 + x3) = 0

Multiply (6 + 7x3) * (4 + x3)
(6(4 + x3) + 7x3 * (4 + x3)) = 0
((4 * 6 + x3 * 6) + 7x3 * (4 + x3)) = 0
((24 + 6x3) + 7x3 * (4 + x3)) = 0
(24 + 6x3 + (4 * 7x3 + x3 * 7x3)) = 0
(24 + 6x3 + (28x3 + 7x6)) = 0

Combine like terms: 6x3 + 28x3 = 34x3
(24 + 34x3 + 7x6) = 0

Solving
24 + 34x3 + 7x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x3)(6 + 7x3) = 0

Subproblem 1

Set the factor '(4 + x3)' equal to zero and attempt to solve: Simplifying 4 + x3 = 0 Solving 4 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x3 = 0 + -4 x3 = 0 + -4 Combine like terms: 0 + -4 = -4 x3 = -4 Simplifying x3 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(6 + 7x3)' equal to zero and attempt to solve: Simplifying 6 + 7x3 = 0 Solving 6 + 7x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x3 = 0 + -6 7x3 = 0 + -6 Combine like terms: 0 + -6 = -6 7x3 = -6 Divide each side by '7'. x3 = -0.8571428571 Simplifying x3 = -0.8571428571 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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