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Simplifying 4x2 + 2x + -3x = x2 Reorder the terms: 2x + -3x + 4x2 = x2 Combine like terms: 2x + -3x = -1x -1x + 4x2 = x2 Solving -1x + 4x2 = x2 Solving for variable 'x'. Combine like terms: 4x2 + -1x2 = 3x2 -1x + 3x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 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 '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0, 0.3333333333}
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