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Simplifying x3 + -35x2 + 34x = 0 Reorder the terms: 34x + -35x2 + x3 = 0 Solving 34x + -35x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(34 + -35x + x2) = 0 Factor a trinomial. x((1 + -1x)(34 + -1x)) = 0Subproblem 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 3
Set the factor '(34 + -1x)' equal to zero and attempt to solve: Simplifying 34 + -1x = 0 Solving 34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 0 + -34 -1x = 0 + -34 Combine like terms: 0 + -34 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34Solution
x = {0, 1, 34}
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