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Simplifying 255 = 4x4 + -1 Reorder the terms: 255 = -1 + 4x4 Solving 255 = -1 + 4x4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x4' to each side of the equation. 255 + -4x4 = -1 + 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 255 + -4x4 = -1 + 0 255 + -4x4 = -1 Add '-255' to each side of the equation. 255 + -255 + -4x4 = -1 + -255 Combine like terms: 255 + -255 = 0 0 + -4x4 = -1 + -255 -4x4 = -1 + -255 Combine like terms: -1 + -255 = -256 -4x4 = -256 Divide each side by '-4'. x4 = 64 Simplifying x4 = 64 Reorder the terms: -64 + x4 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + x4 = 0 Factor a difference between two squares. (8 + x2)(-8 + x2) = 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 '(-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 Take the square root of each side: x = {-2.828427125, 2.828427125}Solution
x = {-2.828427125, 2.828427125}
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