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Simplifying 50x7 + 80x4 + -96x = 0 Reorder the terms: -96x + 80x4 + 50x7 = 0 Solving -96x + 80x4 + 50x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-48 + 40x3 + 25x6) = 0 Factor a trinomial. 2x((-12 + -5x3)(4 + -5x3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-12 + -5x3)' equal to zero and attempt to solve: Simplifying -12 + -5x3 = 0 Solving -12 + -5x3 = 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 + -5x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x3 = 0 + 12 -5x3 = 0 + 12 Combine like terms: 0 + 12 = 12 -5x3 = 12 Divide each side by '-5'. x3 = -2.4 Simplifying x3 = -2.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -5x3)' equal to zero and attempt to solve: Simplifying 4 + -5x3 = 0 Solving 4 + -5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x3 = 0 + -4 -5x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -5x3 = -4 Divide each side by '-5'. x3 = 0.8 Simplifying x3 = 0.8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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