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Simplifying (8x5 + 2)(8x5 + -2) = 0 Reorder the terms: (2 + 8x5)(8x5 + -2) = 0 Reorder the terms: (2 + 8x5)(-2 + 8x5) = 0 Multiply (2 + 8x5) * (-2 + 8x5) (2(-2 + 8x5) + 8x5 * (-2 + 8x5)) = 0 ((-2 * 2 + 8x5 * 2) + 8x5 * (-2 + 8x5)) = 0 ((-4 + 16x5) + 8x5 * (-2 + 8x5)) = 0 (-4 + 16x5 + (-2 * 8x5 + 8x5 * 8x5)) = 0 (-4 + 16x5 + (-16x5 + 64x10)) = 0 Combine like terms: 16x5 + -16x5 = 0 (-4 + 0 + 64x10) = 0 (-4 + 64x10) = 0 Solving -4 + 64x10 = 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 + 64x10 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 64x10 = 0 + 4 64x10 = 0 + 4 Combine like terms: 0 + 4 = 4 64x10 = 4 Divide each side by '64'. x10 = 0.0625 Simplifying x10 = 0.0625 Reorder the terms: -0.0625 + x10 = 0.0625 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 -0.0625 + x10 = 0.0000 Factor a difference between two squares. (0.25 + x5)(-0.25 + x5) = 0.0000Subproblem 1
Set the factor '(0.25 + x5)' equal to zero and attempt to solve: Simplifying 0.25 + x5 = 0 Solving 0.25 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x5 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x5 = 0 + -0.25 x5 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 x5 = -0.25 Simplifying x5 = -0.25 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 '(-0.25 + x5)' equal to zero and attempt to solve: Simplifying -0.25 + x5 = 0 Solving -0.25 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + x5 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + x5 = 0 + 0.25 x5 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 x5 = 0.25 Simplifying x5 = 0.25 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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