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Simplifying 3x3 + -34x2 + 56x = 0 Reorder the terms: 56x + -34x2 + 3x3 = 0 Solving 56x + -34x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(56 + -34x + 3x2) = 0 Factor a trinomial. x((2 + -1x)(28 + -3x)) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 3
Set the factor '(28 + -3x)' equal to zero and attempt to solve: Simplifying 28 + -3x = 0 Solving 28 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 0 + -28 -3x = 0 + -28 Combine like terms: 0 + -28 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333Solution
x = {0, 2, 9.333333333}
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