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Simplifying (2x2 + 3)(2x2 + -3) = 0 Reorder the terms: (3 + 2x2)(2x2 + -3) = 0 Reorder the terms: (3 + 2x2)(-3 + 2x2) = 0 Multiply (3 + 2x2) * (-3 + 2x2) (3(-3 + 2x2) + 2x2 * (-3 + 2x2)) = 0 ((-3 * 3 + 2x2 * 3) + 2x2 * (-3 + 2x2)) = 0 ((-9 + 6x2) + 2x2 * (-3 + 2x2)) = 0 (-9 + 6x2 + (-3 * 2x2 + 2x2 * 2x2)) = 0 (-9 + 6x2 + (-6x2 + 4x4)) = 0 Combine like terms: 6x2 + -6x2 = 0 (-9 + 0 + 4x4) = 0 (-9 + 4x4) = 0 Solving -9 + 4x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x4 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x4 = 0 + 9 4x4 = 0 + 9 Combine like terms: 0 + 9 = 9 4x4 = 9 Divide each side by '4'. x4 = 2.25 Simplifying x4 = 2.25 Reorder the terms: -2.25 + x4 = 2.25 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + x4 = 0.00 Factor a difference between two squares. (1.5 + x2)(-1.5 + x2) = 0.00Subproblem 1
Set the factor '(1.5 + x2)' equal to zero and attempt to solve: Simplifying 1.5 + x2 = 0 Solving 1.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x2 = 0 + -1.5 x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x2 = -1.5 Simplifying x2 = -1.5 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 '(-1.5 + x2)' equal to zero and attempt to solve: Simplifying -1.5 + x2 = 0 Solving -1.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x2 = 0 + 1.5 x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {-1.224744871, 1.224744871}
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