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Simplifying (8x4 + 9)(8x4 + -9) = 0 Reorder the terms: (9 + 8x4)(8x4 + -9) = 0 Reorder the terms: (9 + 8x4)(-9 + 8x4) = 0 Multiply (9 + 8x4) * (-9 + 8x4) (9(-9 + 8x4) + 8x4 * (-9 + 8x4)) = 0 ((-9 * 9 + 8x4 * 9) + 8x4 * (-9 + 8x4)) = 0 ((-81 + 72x4) + 8x4 * (-9 + 8x4)) = 0 (-81 + 72x4 + (-9 * 8x4 + 8x4 * 8x4)) = 0 (-81 + 72x4 + (-72x4 + 64x8)) = 0 Combine like terms: 72x4 + -72x4 = 0 (-81 + 0 + 64x8) = 0 (-81 + 64x8) = 0 Solving -81 + 64x8 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 64x8 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 64x8 = 0 + 81 64x8 = 0 + 81 Combine like terms: 0 + 81 = 81 64x8 = 81 Divide each side by '64'. x8 = 1.265625 Simplifying x8 = 1.265625 Reorder the terms: -1.265625 + x8 = 1.265625 + -1.265625 Combine like terms: 1.265625 + -1.265625 = 0.000000 -1.265625 + x8 = 0.000000 Factor a difference between two squares. (1.125 + x4)(-1.125 + x4) = 0.000000Subproblem 1
Set the factor '(1.125 + x4)' equal to zero and attempt to solve: Simplifying 1.125 + x4 = 0 Solving 1.125 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x4 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x4 = 0 + -1.125 x4 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 x4 = -1.125 Simplifying x4 = -1.125 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 '(-1.125 + x4)' equal to zero and attempt to solve: Simplifying -1.125 + x4 = 0 Solving -1.125 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.125' to each side of the equation. -1.125 + 1.125 + x4 = 0 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + x4 = 0 + 1.125 x4 = 0 + 1.125 Combine like terms: 0 + 1.125 = 1.125 x4 = 1.125 Simplifying x4 = 1.125 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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