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Simplifying 3x3 + -24x = x Reorder the terms: -24x + 3x3 = x Solving -24x + 3x3 = x Solving for variable 'x'. Reorder the terms: -24x + -1x + 3x3 = x + -1x Combine like terms: -24x + -1x = -25x -25x + 3x3 = x + -1x Combine like terms: x + -1x = 0 -25x + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 3x2) = 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 '(-25 + 3x2)' equal to zero and attempt to solve: Simplifying -25 + 3x2 = 0 Solving -25 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 3x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 3x2 = 0 + 25 3x2 = 0 + 25 Combine like terms: 0 + 25 = 25 3x2 = 25 Divide each side by '3'. x2 = 8.333333333 Simplifying x2 = 8.333333333 Take the square root of each side: x = {-2.886751346, 2.886751346}Solution
x = {0, -2.886751346, 2.886751346}
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