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Simplifying 0 = 3x3 + -4x Reorder the terms: 0 = -4x + 3x3 Solving 0 = -4x + 3x3 Solving for variable 'x'. Remove the zero: 4x + -3x3 = -4x + 3x3 + 4x + -3x3 Reorder the terms: 4x + -3x3 = -4x + 4x + 3x3 + -3x3 Combine like terms: -4x + 4x = 0 4x + -3x3 = 0 + 3x3 + -3x3 4x + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 4x + -3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -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 '(4 + -3x2)' equal to zero and attempt to solve: Simplifying 4 + -3x2 = 0 Solving 4 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x2 = 0 + -4 -3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x2 = -4 Divide each side by '-3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}Solution
x = {0, -1.154700538, 1.154700538}
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