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Simplifying (x2 + 15)(x2 + 3) = 0 Reorder the terms: (15 + x2)(x2 + 3) = 0 Reorder the terms: (15 + x2)(3 + x2) = 0 Multiply (15 + x2) * (3 + x2) (15(3 + x2) + x2(3 + x2)) = 0 ((3 * 15 + x2 * 15) + x2(3 + x2)) = 0 ((45 + 15x2) + x2(3 + x2)) = 0 (45 + 15x2 + (3 * x2 + x2 * x2)) = 0 (45 + 15x2 + (3x2 + x4)) = 0 Combine like terms: 15x2 + 3x2 = 18x2 (45 + 18x2 + x4) = 0 Solving 45 + 18x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x2)(3 + x2) = 0Subproblem 1
Set the factor '(15 + x2)' equal to zero and attempt to solve: Simplifying 15 + x2 = 0 Solving 15 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x2 = 0 + -15 x2 = 0 + -15 Combine like terms: 0 + -15 = -15 x2 = -15 Simplifying x2 = -15 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 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 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 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -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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