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Simplifying (3x2 + 7)(x2 + 8) = 0 Reorder the terms: (7 + 3x2)(x2 + 8) = 0 Reorder the terms: (7 + 3x2)(8 + x2) = 0 Multiply (7 + 3x2) * (8 + x2) (7(8 + x2) + 3x2 * (8 + x2)) = 0 ((8 * 7 + x2 * 7) + 3x2 * (8 + x2)) = 0 ((56 + 7x2) + 3x2 * (8 + x2)) = 0 (56 + 7x2 + (8 * 3x2 + x2 * 3x2)) = 0 (56 + 7x2 + (24x2 + 3x4)) = 0 Combine like terms: 7x2 + 24x2 = 31x2 (56 + 31x2 + 3x4) = 0 Solving 56 + 31x2 + 3x4 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x2)(7 + 3x2) = 0Subproblem 1
Set the factor '(8 + x2)' equal to zero and attempt to solve: Simplifying 8 + x2 = 0 Solving 8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2 = 0 + -8 x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x2 = -8 Simplifying x2 = -8 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 '(7 + 3x2)' equal to zero and attempt to solve: Simplifying 7 + 3x2 = 0 Solving 7 + 3x2 = 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 + 3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x2 = 0 + -7 3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 3x2 = -7 Divide each side by '3'. x2 = -2.333333333 Simplifying x2 = -2.333333333 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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