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Simplifying (8x3 + 6)(8x3 + -6) = 0 Reorder the terms: (6 + 8x3)(8x3 + -6) = 0 Reorder the terms: (6 + 8x3)(-6 + 8x3) = 0 Multiply (6 + 8x3) * (-6 + 8x3) (6(-6 + 8x3) + 8x3 * (-6 + 8x3)) = 0 ((-6 * 6 + 8x3 * 6) + 8x3 * (-6 + 8x3)) = 0 ((-36 + 48x3) + 8x3 * (-6 + 8x3)) = 0 (-36 + 48x3 + (-6 * 8x3 + 8x3 * 8x3)) = 0 (-36 + 48x3 + (-48x3 + 64x6)) = 0 Combine like terms: 48x3 + -48x3 = 0 (-36 + 0 + 64x6) = 0 (-36 + 64x6) = 0 Solving -36 + 64x6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 64x6 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 64x6 = 0 + 36 64x6 = 0 + 36 Combine like terms: 0 + 36 = 36 64x6 = 36 Divide each side by '64'. x6 = 0.5625 Simplifying x6 = 0.5625 Reorder the terms: -0.5625 + x6 = 0.5625 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 -0.5625 + x6 = 0.0000 Factor a difference between two squares. (0.75 + x3)(-0.75 + x3) = 0.0000Subproblem 1
Set the factor '(0.75 + x3)' equal to zero and attempt to solve: Simplifying 0.75 + x3 = 0 Solving 0.75 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x3 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x3 = 0 + -0.75 x3 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 x3 = -0.75 Simplifying x3 = -0.75 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 '(-0.75 + x3)' equal to zero and attempt to solve: Simplifying -0.75 + x3 = 0 Solving -0.75 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x3 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x3 = 0 + 0.75 x3 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 x3 = 0.75 Simplifying x3 = 0.75 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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