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Simplifying 11x2 + -12x + 4 = 21x + 4 Reorder the terms: 4 + -12x + 11x2 = 21x + 4 Reorder the terms: 4 + -12x + 11x2 = 4 + 21x Add '-4' to each side of the equation. 4 + -12x + -4 + 11x2 = 4 + -4 + 21x Reorder the terms: 4 + -4 + -12x + 11x2 = 4 + -4 + 21x Combine like terms: 4 + -4 = 0 0 + -12x + 11x2 = 4 + -4 + 21x -12x + 11x2 = 4 + -4 + 21x Combine like terms: 4 + -4 = 0 -12x + 11x2 = 0 + 21x -12x + 11x2 = 21x Solving -12x + 11x2 = 21x Solving for variable 'x'. Reorder the terms: -12x + -21x + 11x2 = 21x + -21x Combine like terms: -12x + -21x = -33x -33x + 11x2 = 21x + -21x Combine like terms: 21x + -21x = 0 -33x + 11x2 = 0 Factor out the Greatest Common Factor (GCF), '11x'. 11x(-3 + x) = 0 Ignore the factor 11.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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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