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Simplifying 4x3 + -34x = 0 Reorder the terms: -34x + 4x3 = 0 Solving -34x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-17 + 2x2) = 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 '(-17 + 2x2)' equal to zero and attempt to solve: Simplifying -17 + 2x2 = 0 Solving -17 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2x2 = 0 + 17 2x2 = 0 + 17 Combine like terms: 0 + 17 = 17 2x2 = 17 Divide each side by '2'. x2 = 8.5 Simplifying x2 = 8.5 Take the square root of each side: x = {-2.915475947, 2.915475947}Solution
x = {0, -2.915475947, 2.915475947}
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