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Simplifying 2x2 + 3x + 4 = 5x + 4 Reorder the terms: 4 + 3x + 2x2 = 5x + 4 Reorder the terms: 4 + 3x + 2x2 = 4 + 5x Add '-4' to each side of the equation. 4 + 3x + -4 + 2x2 = 4 + -4 + 5x Reorder the terms: 4 + -4 + 3x + 2x2 = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 3x + 2x2 = 4 + -4 + 5x 3x + 2x2 = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 3x + 2x2 = 0 + 5x 3x + 2x2 = 5x Solving 3x + 2x2 = 5x Solving for variable 'x'. Reorder the terms: 3x + -5x + 2x2 = 5x + -5x Combine like terms: 3x + -5x = -2x -2x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + x) = 0 Ignore the factor 2.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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