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Simplifying (4x5 + 2)(4x5 + -2) = 0 Reorder the terms: (2 + 4x5)(4x5 + -2) = 0 Reorder the terms: (2 + 4x5)(-2 + 4x5) = 0 Multiply (2 + 4x5) * (-2 + 4x5) (2(-2 + 4x5) + 4x5 * (-2 + 4x5)) = 0 ((-2 * 2 + 4x5 * 2) + 4x5 * (-2 + 4x5)) = 0 ((-4 + 8x5) + 4x5 * (-2 + 4x5)) = 0 (-4 + 8x5 + (-2 * 4x5 + 4x5 * 4x5)) = 0 (-4 + 8x5 + (-8x5 + 16x10)) = 0 Combine like terms: 8x5 + -8x5 = 0 (-4 + 0 + 16x10) = 0 (-4 + 16x10) = 0 Solving -4 + 16x10 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 16x10 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 16x10 = 0 + 4 16x10 = 0 + 4 Combine like terms: 0 + 4 = 4 16x10 = 4 Divide each side by '16'. x10 = 0.25 Simplifying x10 = 0.25 Reorder the terms: -0.25 + x10 = 0.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x10 = 0.00 Factor a difference between two squares. (0.5 + x5)(-0.5 + x5) = 0.00Subproblem 1
Set the factor '(0.5 + x5)' equal to zero and attempt to solve: Simplifying 0.5 + x5 = 0 Solving 0.5 + x5 = 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 + x5 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x5 = 0 + -0.5 x5 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x5 = -0.5 Simplifying x5 = -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 + x5)' equal to zero and attempt to solve: Simplifying -0.5 + x5 = 0 Solving -0.5 + x5 = 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 + x5 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x5 = 0 + 0.5 x5 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 x5 = 0.5 Simplifying x5 = 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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