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Simplifying 2x3(x3 + 7) = 16 Reorder the terms: 2x3(7 + x3) = 16 (7 * 2x3 + x3 * 2x3) = 16 (14x3 + 2x6) = 16 Solving 14x3 + 2x6 = 16 Solving for variable 'x'. Reorder the terms: -16 + 14x3 + 2x6 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 14x3 + 2x6 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 7x3 + x6) = 0 Factor a trinomial. 2((-8 + -1x3)(1 + -1x3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1x3)' equal to zero and attempt to solve: Simplifying -8 + -1x3 = 0 Solving -8 + -1x3 = 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 + -1x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x3 = 0 + 8 -1x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -1x3 = 8 Divide each side by '-1'. 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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