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Simplifying 5x3 = 4x6 + 1 Reorder the terms: 5x3 = 1 + 4x6 Solving 5x3 = 1 + 4x6 Solving for variable 'x'. Reorder the terms: -1 + 5x3 + -4x6 = 1 + 4x6 + -1 + -4x6 Reorder the terms: -1 + 5x3 + -4x6 = 1 + -1 + 4x6 + -4x6 Combine like terms: 1 + -1 = 0 -1 + 5x3 + -4x6 = 0 + 4x6 + -4x6 -1 + 5x3 + -4x6 = 4x6 + -4x6 Combine like terms: 4x6 + -4x6 = 0 -1 + 5x3 + -4x6 = 0 Factor a trinomial. (-1 + x3)(1 + -4x3) = 0Subproblem 1
Set the factor '(-1 + x3)' equal to zero and attempt to solve: Simplifying -1 + x3 = 0 Solving -1 + x3 = 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 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 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.Subproblem 2
Set the factor '(1 + -4x3)' equal to zero and attempt to solve: Simplifying 1 + -4x3 = 0 Solving 1 + -4x3 = 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 + -4x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x3 = 0 + -1 -4x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x3 = -1 Divide each side by '-4'. x3 = 0.25 Simplifying x3 = 0.25 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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