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Simplifying 9(5(x3 + -1)) = 5(x6 + -1) Reorder the terms: 9(5(-1 + x3)) = 5(x6 + -1) 9((-1 * 5 + x3 * 5)) = 5(x6 + -1) 9((-5 + 5x3)) = 5(x6 + -1) (-5 * 9 + 5x3 * 9) = 5(x6 + -1) (-45 + 45x3) = 5(x6 + -1) Reorder the terms: -45 + 45x3 = 5(-1 + x6) -45 + 45x3 = (-1 * 5 + x6 * 5) -45 + 45x3 = (-5 + 5x6) Solving -45 + 45x3 = -5 + 5x6 Solving for variable 'x'. Reorder the terms: -45 + 5 + 45x3 + -5x6 = -5 + 5x6 + 5 + -5x6 Combine like terms: -45 + 5 = -40 -40 + 45x3 + -5x6 = -5 + 5x6 + 5 + -5x6 Reorder the terms: -40 + 45x3 + -5x6 = -5 + 5 + 5x6 + -5x6 Combine like terms: -5 + 5 = 0 -40 + 45x3 + -5x6 = 0 + 5x6 + -5x6 -40 + 45x3 + -5x6 = 5x6 + -5x6 Combine like terms: 5x6 + -5x6 = 0 -40 + 45x3 + -5x6 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + 9x3 + -1x6) = 0 Factor a trinomial. 5((-8 + x3)(1 + -1x3)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + x3)' equal to zero and attempt to solve: Simplifying -8 + x3 = 0 Solving -8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x3 = 0 + 8 x3 = 0 + 8 Combine like terms: 0 + 8 = 8 x3 = 8 Simplifying x3 = 8 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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