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Simplifying 10x6 + 11x3 + -6 = 0 Reorder the terms: -6 + 11x3 + 10x6 = 0 Solving -6 + 11x3 + 10x6 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x3)(2 + -5x3) = 0Subproblem 1
Set the factor '(-3 + -2x3)' equal to zero and attempt to solve: Simplifying -3 + -2x3 = 0 Solving -3 + -2x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x3 = 0 + 3 -2x3 = 0 + 3 Combine like terms: 0 + 3 = 3 -2x3 = 3 Divide each side by '-2'. x3 = -1.5 Simplifying x3 = -1.5 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 '(2 + -5x3)' equal to zero and attempt to solve: Simplifying 2 + -5x3 = 0 Solving 2 + -5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x3 = 0 + -2 -5x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x3 = -2 Divide each side by '-5'. x3 = 0.4 Simplifying x3 = 0.4 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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