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Simplifying 3x^{2}+ -5x + -28 = 2x^{2}+ x + -28 Reorder the terms: -28 + -5x + 3x^{2}= 2x^{2}+ x + -28 Reorder the terms: -28 + -5x + 3x^{2}= -28 + x + 2x^{2}Add '28' to each side of the equation. -28 + -5x + 28 + 3x^{2}= -28 + x + 28 + 2x^{2}Reorder the terms: -28 + 28 + -5x + 3x^{2}= -28 + x + 28 + 2x^{2}Combine like terms: -28 + 28 = 0 0 + -5x + 3x^{2}= -28 + x + 28 + 2x^{2}-5x + 3x^{2}= -28 + x + 28 + 2x^{2}Reorder the terms: -5x + 3x^{2}= -28 + 28 + x + 2x^{2}Combine like terms: -28 + 28 = 0 -5x + 3x^{2}= 0 + x + 2x^{2}-5x + 3x^{2}= x + 2x^{2}Solving -5x + 3x^{2}= x + 2x^{2}Solving for variable 'x'. Reorder the terms: -5x + -1x + 3x^{2}+ -2x^{2}= x + 2x^{2}+ -1x + -2x^{2}Combine like terms: -5x + -1x = -6x -6x + 3x^{2}+ -2x^{2}= x + 2x^{2}+ -1x + -2x^{2}Combine like terms: 3x^{2}+ -2x^{2}= 1x^{2}-6x + 1x^{2}= x + 2x^{2}+ -1x + -2x^{2}Reorder the terms: -6x + 1x^{2}= x + -1x + 2x^{2}+ -2x^{2}Combine like terms: x + -1x = 0 -6x + 1x^{2}= 0 + 2x^{2}+ -2x^{2}-6x + 1x^{2}= 2x^{2}+ -2x^{2}Combine like terms: 2x^{2}+ -2x^{2}= 0 -6x + 1x^{2}= 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + x) = 0## 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 = 0## Subproblem 2

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6## Solution

x = {0, 6}

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