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Simplifying 192x4 = 3 Solving 192x4 = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '192'. x4 = 0.015625 Simplifying x4 = 0.015625 Reorder the terms: -0.015625 + x4 = 0.015625 + -0.015625 Combine like terms: 0.015625 + -0.015625 = 0.000000 -0.015625 + x4 = 0.000000 Factor a difference between two squares. (0.125 + x2)(-0.125 + x2) = 0.000000Subproblem 1
Set the factor '(0.125 + x2)' equal to zero and attempt to solve: Simplifying 0.125 + x2 = 0 Solving 0.125 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + x2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + x2 = 0 + -0.125 x2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 x2 = -0.125 Simplifying x2 = -0.125 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 '(-0.125 + x2)' equal to zero and attempt to solve: Simplifying -0.125 + x2 = 0 Solving -0.125 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + x2 = 0 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + x2 = 0 + 0.125 x2 = 0 + 0.125 Combine like terms: 0 + 0.125 = 0.125 x2 = 0.125 Simplifying x2 = 0.125 Take the square root of each side: x = {-0.353553391, 0.353553391}Solution
x = {-0.353553391, 0.353553391}
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