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Simplifying 2x * 2x * 2x * 4x = 128 Reorder the terms for easier multiplication: 2 * 2 * 2 * 4x * x * x * x = 128 Multiply 2 * 2 4 * 2 * 4x * x * x * x = 128 Multiply 4 * 2 8 * 4x * x * x * x = 128 Multiply 8 * 4 32x * x * x * x = 128 Multiply x * x 32x2 * x * x = 128 Multiply x2 * x 32x3 * x = 128 Multiply x3 * x 32x4 = 128 Solving 32x4 = 128 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '32'. x4 = 4 Simplifying x4 = 4 Reorder the terms: -4 + x4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + x4 = 0 Factor a difference between two squares. (2 + x2)(-2 + x2) = 0Subproblem 1
Set the factor '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 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 '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.414213562, 1.414213562}
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