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Simplifying (10x5 + 1)(10x5 + -1) = 0 Reorder the terms: (1 + 10x5)(10x5 + -1) = 0 Reorder the terms: (1 + 10x5)(-1 + 10x5) = 0 Multiply (1 + 10x5) * (-1 + 10x5) (1(-1 + 10x5) + 10x5 * (-1 + 10x5)) = 0 ((-1 * 1 + 10x5 * 1) + 10x5 * (-1 + 10x5)) = 0 ((-1 + 10x5) + 10x5 * (-1 + 10x5)) = 0 (-1 + 10x5 + (-1 * 10x5 + 10x5 * 10x5)) = 0 (-1 + 10x5 + (-10x5 + 100x10)) = 0 Combine like terms: 10x5 + -10x5 = 0 (-1 + 0 + 100x10) = 0 (-1 + 100x10) = 0 Solving -1 + 100x10 = 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 + 100x10 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 100x10 = 0 + 1 100x10 = 0 + 1 Combine like terms: 0 + 1 = 1 100x10 = 1 Divide each side by '100'. x10 = 0.01 Simplifying x10 = 0.01 Reorder the terms: -0.01 + x10 = 0.01 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 -0.01 + x10 = 0.00 Factor a difference between two squares. (0.1 + x5)(-0.1 + x5) = 0.00Subproblem 1
Set the factor '(0.1 + x5)' equal to zero and attempt to solve: Simplifying 0.1 + x5 = 0 Solving 0.1 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + x5 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + x5 = 0 + -0.1 x5 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 x5 = -0.1 Simplifying x5 = -0.1 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 '(-0.1 + x5)' equal to zero and attempt to solve: Simplifying -0.1 + x5 = 0 Solving -0.1 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + x5 = 0 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + x5 = 0 + 0.1 x5 = 0 + 0.1 Combine like terms: 0 + 0.1 = 0.1 x5 = 0.1 Simplifying x5 = 0.1 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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