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Simplifying (4x2 + 3x) + (-1x2 + x) = 0 Reorder the terms: (3x + 4x2) + (-1x2 + x) = 0 Remove parenthesis around (3x + 4x2) 3x + 4x2 + (-1x2 + x) = 0 Reorder the terms: 3x + 4x2 + (x + -1x2) = 0 Remove parenthesis around (x + -1x2) 3x + 4x2 + x + -1x2 = 0 Reorder the terms: 3x + x + 4x2 + -1x2 = 0 Combine like terms: 3x + x = 4x 4x + 4x2 + -1x2 = 0 Combine like terms: 4x2 + -1x2 = 3x2 4x + 3x2 = 0 Solving 4x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0, -1.333333333}
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