(2x^3+7)(2x^3+6)=

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Solution for (2x^3+7)(2x^3+6)= equation:


Simplifying
(2x3 + 7)(2x3 + 6) = 0

Reorder the terms:
(7 + 2x3)(2x3 + 6) = 0

Reorder the terms:
(7 + 2x3)(6 + 2x3) = 0

Multiply (7 + 2x3) * (6 + 2x3)
(7(6 + 2x3) + 2x3 * (6 + 2x3)) = 0
((6 * 7 + 2x3 * 7) + 2x3 * (6 + 2x3)) = 0
((42 + 14x3) + 2x3 * (6 + 2x3)) = 0
(42 + 14x3 + (6 * 2x3 + 2x3 * 2x3)) = 0
(42 + 14x3 + (12x3 + 4x6)) = 0

Combine like terms: 14x3 + 12x3 = 26x3
(42 + 26x3 + 4x6) = 0

Solving
42 + 26x3 + 4x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + 13x3 + 2x6) = 0

Factor a trinomial.
2((7 + 2x3)(3 + x3)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 2x3)' equal to zero and attempt to solve: Simplifying 7 + 2x3 = 0 Solving 7 + 2x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x3 = 0 + -7 2x3 = 0 + -7 Combine like terms: 0 + -7 = -7 2x3 = -7 Divide each side by '2'. x3 = -3.5 Simplifying x3 = -3.5 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 '(3 + x3)' equal to zero and attempt to solve: Simplifying 3 + x3 = 0 Solving 3 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x3 = 0 + -3 x3 = 0 + -3 Combine like terms: 0 + -3 = -3 x3 = -3 Simplifying x3 = -3 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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