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Simplifying (2x3 + -3x2 + 5x + -1) + (3x3 + -3x2 + -1x + 4) = 5x3 + 6x2 + 3x + 3 Reorder the terms: (-1 + 5x + -3x2 + 2x3) + (3x3 + -3x2 + -1x + 4) = 5x3 + 6x2 + 3x + 3 Remove parenthesis around (-1 + 5x + -3x2 + 2x3) -1 + 5x + -3x2 + 2x3 + (3x3 + -3x2 + -1x + 4) = 5x3 + 6x2 + 3x + 3 Reorder the terms: -1 + 5x + -3x2 + 2x3 + (4 + -1x + -3x2 + 3x3) = 5x3 + 6x2 + 3x + 3 Remove parenthesis around (4 + -1x + -3x2 + 3x3) -1 + 5x + -3x2 + 2x3 + 4 + -1x + -3x2 + 3x3 = 5x3 + 6x2 + 3x + 3 Reorder the terms: -1 + 4 + 5x + -1x + -3x2 + -3x2 + 2x3 + 3x3 = 5x3 + 6x2 + 3x + 3 Combine like terms: -1 + 4 = 3 3 + 5x + -1x + -3x2 + -3x2 + 2x3 + 3x3 = 5x3 + 6x2 + 3x + 3 Combine like terms: 5x + -1x = 4x 3 + 4x + -3x2 + -3x2 + 2x3 + 3x3 = 5x3 + 6x2 + 3x + 3 Combine like terms: -3x2 + -3x2 = -6x2 3 + 4x + -6x2 + 2x3 + 3x3 = 5x3 + 6x2 + 3x + 3 Combine like terms: 2x3 + 3x3 = 5x3 3 + 4x + -6x2 + 5x3 = 5x3 + 6x2 + 3x + 3 Reorder the terms: 3 + 4x + -6x2 + 5x3 = 3 + 3x + 6x2 + 5x3 Add '-3' to each side of the equation. 3 + 4x + -6x2 + -3 + 5x3 = 3 + 3x + 6x2 + -3 + 5x3 Reorder the terms: 3 + -3 + 4x + -6x2 + 5x3 = 3 + 3x + 6x2 + -3 + 5x3 Combine like terms: 3 + -3 = 0 0 + 4x + -6x2 + 5x3 = 3 + 3x + 6x2 + -3 + 5x3 4x + -6x2 + 5x3 = 3 + 3x + 6x2 + -3 + 5x3 Reorder the terms: 4x + -6x2 + 5x3 = 3 + -3 + 3x + 6x2 + 5x3 Combine like terms: 3 + -3 = 0 4x + -6x2 + 5x3 = 0 + 3x + 6x2 + 5x3 4x + -6x2 + 5x3 = 3x + 6x2 + 5x3 Add '-5x3' to each side of the equation. 4x + -6x2 + 5x3 + -5x3 = 3x + 6x2 + 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 4x + -6x2 + 0 = 3x + 6x2 + 5x3 + -5x3 4x + -6x2 = 3x + 6x2 + 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 4x + -6x2 = 3x + 6x2 + 0 4x + -6x2 = 3x + 6x2 Solving 4x + -6x2 = 3x + 6x2 Solving for variable 'x'. Reorder the terms: 4x + -3x + -6x2 + -6x2 = 3x + 6x2 + -3x + -6x2 Combine like terms: 4x + -3x = 1x 1x + -6x2 + -6x2 = 3x + 6x2 + -3x + -6x2 Combine like terms: -6x2 + -6x2 = -12x2 1x + -12x2 = 3x + 6x2 + -3x + -6x2 Reorder the terms: 1x + -12x2 = 3x + -3x + 6x2 + -6x2 Combine like terms: 3x + -3x = 0 1x + -12x2 = 0 + 6x2 + -6x2 1x + -12x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 1x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -12x) = 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 '(1 + -12x)' equal to zero and attempt to solve: Simplifying 1 + -12x = 0 Solving 1 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333Solution
x = {0, 0.08333333333}
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