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Simplifying (8x7 + 4)(8x7 + -4) = 0 Reorder the terms: (4 + 8x7)(8x7 + -4) = 0 Reorder the terms: (4 + 8x7)(-4 + 8x7) = 0 Multiply (4 + 8x7) * (-4 + 8x7) (4(-4 + 8x7) + 8x7 * (-4 + 8x7)) = 0 ((-4 * 4 + 8x7 * 4) + 8x7 * (-4 + 8x7)) = 0 ((-16 + 32x7) + 8x7 * (-4 + 8x7)) = 0 (-16 + 32x7 + (-4 * 8x7 + 8x7 * 8x7)) = 0 (-16 + 32x7 + (-32x7 + 64x14)) = 0 Combine like terms: 32x7 + -32x7 = 0 (-16 + 0 + 64x14) = 0 (-16 + 64x14) = 0 Solving -16 + 64x14 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 64x14 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 64x14 = 0 + 16 64x14 = 0 + 16 Combine like terms: 0 + 16 = 16 64x14 = 16 Divide each side by '64'. x14 = 0.25 Simplifying x14 = 0.25 Reorder the terms: -0.25 + x14 = 0.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x14 = 0.00 Factor a difference between two squares. (0.5 + x7)(-0.5 + x7) = 0.00Subproblem 1
Set the factor '(0.5 + x7)' equal to zero and attempt to solve: Simplifying 0.5 + x7 = 0 Solving 0.5 + x7 = 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 + x7 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x7 = 0 + -0.5 x7 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x7 = -0.5 Simplifying x7 = -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 + x7)' equal to zero and attempt to solve: Simplifying -0.5 + x7 = 0 Solving -0.5 + x7 = 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 + x7 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x7 = 0 + 0.5 x7 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 x7 = 0.5 Simplifying x7 = 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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