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Simplifying (2x3 + -1)(2x3 + 1) = 0 Reorder the terms: (-1 + 2x3)(2x3 + 1) = 0 Reorder the terms: (-1 + 2x3)(1 + 2x3) = 0 Multiply (-1 + 2x3) * (1 + 2x3) (-1(1 + 2x3) + 2x3 * (1 + 2x3)) = 0 ((1 * -1 + 2x3 * -1) + 2x3 * (1 + 2x3)) = 0 ((-1 + -2x3) + 2x3 * (1 + 2x3)) = 0 (-1 + -2x3 + (1 * 2x3 + 2x3 * 2x3)) = 0 (-1 + -2x3 + (2x3 + 4x6)) = 0 Combine like terms: -2x3 + 2x3 = 0 (-1 + 0 + 4x6) = 0 (-1 + 4x6) = 0 Solving -1 + 4x6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x6 = 0 + 1 4x6 = 0 + 1 Combine like terms: 0 + 1 = 1 4x6 = 1 Divide each side by '4'. x6 = 0.25 Simplifying x6 = 0.25 Reorder the terms: -0.25 + x6 = 0.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x6 = 0.00 Factor a difference between two squares. (0.5 + x3)(-0.5 + x3) = 0.00Subproblem 1
Set the factor '(0.5 + x3)' equal to zero and attempt to solve: Simplifying 0.5 + x3 = 0 Solving 0.5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x3 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x3 = 0 + -0.5 x3 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x3 = -0.5 Simplifying x3 = -0.5 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 '(-0.5 + x3)' equal to zero and attempt to solve: Simplifying -0.5 + x3 = 0 Solving -0.5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x3 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x3 = 0 + 0.5 x3 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 x3 = 0.5 Simplifying x3 = 0.5 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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