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Simplifying 34x3 + -1x = 720x Reorder the terms: -1x + 34x3 = 720x Solving -1x + 34x3 = 720x Solving for variable 'x'. Reorder the terms: -1x + -720x + 34x3 = 720x + -720x Combine like terms: -1x + -720x = -721x -721x + 34x3 = 720x + -720x Combine like terms: 720x + -720x = 0 -721x + 34x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-721 + 34x2) = 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 '(-721 + 34x2)' equal to zero and attempt to solve: Simplifying -721 + 34x2 = 0 Solving -721 + 34x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '721' to each side of the equation. -721 + 721 + 34x2 = 0 + 721 Combine like terms: -721 + 721 = 0 0 + 34x2 = 0 + 721 34x2 = 0 + 721 Combine like terms: 0 + 721 = 721 34x2 = 721 Divide each side by '34'. x2 = 21.20588235 Simplifying x2 = 21.20588235 Take the square root of each side: x = {-4.604984511, 4.604984511}Solution
x = {0, -4.604984511, 4.604984511}
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