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Simplifying x6 + -60 = 7x3 Reorder the terms: -60 + x6 = 7x3 Solving -60 + x6 = 7x3 Solving for variable 'x'. Reorder the terms: -60 + -7x3 + x6 = 7x3 + -7x3 Combine like terms: 7x3 + -7x3 = 0 -60 + -7x3 + x6 = 0 Factor a trinomial. (-5 + -1x3)(12 + -1x3) = 0Subproblem 1
Set the factor '(-5 + -1x3)' equal to zero and attempt to solve: Simplifying -5 + -1x3 = 0 Solving -5 + -1x3 = 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 + -1x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x3 = 0 + 5 -1x3 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x3 = 5 Divide each side by '-1'. x3 = -5 Simplifying x3 = -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 '(12 + -1x3)' equal to zero and attempt to solve: Simplifying 12 + -1x3 = 0 Solving 12 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x3 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x3 = 0 + -12 -1x3 = 0 + -12 Combine like terms: 0 + -12 = -12 -1x3 = -12 Divide each side by '-1'. x3 = 12 Simplifying x3 = 12 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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