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Simplifying (x2 + 7)(x2 + 7) = 0 Reorder the terms: (7 + x2)(x2 + 7) = 0 Reorder the terms: (7 + x2)(7 + x2) = 0 Multiply (7 + x2) * (7 + x2) (7(7 + x2) + x2(7 + x2)) = 0 ((7 * 7 + x2 * 7) + x2(7 + x2)) = 0 ((49 + 7x2) + x2(7 + x2)) = 0 (49 + 7x2 + (7 * x2 + x2 * x2)) = 0 (49 + 7x2 + (7x2 + x4)) = 0 Combine like terms: 7x2 + 7x2 = 14x2 (49 + 14x2 + x4) = 0 Solving 49 + 14x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x2)(7 + x2) = 0Subproblem 1
Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 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 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 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 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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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