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Simplifying (8x3 + 5)(x3 + -1) = 0 Reorder the terms: (5 + 8x3)(x3 + -1) = 0 Reorder the terms: (5 + 8x3)(-1 + x3) = 0 Multiply (5 + 8x3) * (-1 + x3) (5(-1 + x3) + 8x3 * (-1 + x3)) = 0 ((-1 * 5 + x3 * 5) + 8x3 * (-1 + x3)) = 0 ((-5 + 5x3) + 8x3 * (-1 + x3)) = 0 (-5 + 5x3 + (-1 * 8x3 + x3 * 8x3)) = 0 (-5 + 5x3 + (-8x3 + 8x6)) = 0 Combine like terms: 5x3 + -8x3 = -3x3 (-5 + -3x3 + 8x6) = 0 Solving -5 + -3x3 + 8x6 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -8x3)(1 + -1x3) = 0Subproblem 1
Set the factor '(-5 + -8x3)' equal to zero and attempt to solve: Simplifying -5 + -8x3 = 0 Solving -5 + -8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x3 = 0 + 5 -8x3 = 0 + 5 Combine like terms: 0 + 5 = 5 -8x3 = 5 Divide each side by '-8'. x3 = -0.625 Simplifying x3 = -0.625 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 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 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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