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Simplifying 7x + -28 = 2x^{2}+ -8x + -3x + 12 Reorder the terms: -28 + 7x = 2x^{2}+ -8x + -3x + 12 Reorder the terms: -28 + 7x = 12 + -8x + -3x + 2x^{2}Combine like terms: -8x + -3x = -11x -28 + 7x = 12 + -11x + 2x^{2}Solving -28 + 7x = 12 + -11x + 2x^{2}Solving for variable 'x'. Reorder the terms: -28 + -12 + 7x + 11x + -2x^{2}= 12 + -11x + 2x^{2}+ -12 + 11x + -2x^{2}Combine like terms: -28 + -12 = -40 -40 + 7x + 11x + -2x^{2}= 12 + -11x + 2x^{2}+ -12 + 11x + -2x^{2}Combine like terms: 7x + 11x = 18x -40 + 18x + -2x^{2}= 12 + -11x + 2x^{2}+ -12 + 11x + -2x^{2}Reorder the terms: -40 + 18x + -2x^{2}= 12 + -12 + -11x + 11x + 2x^{2}+ -2x^{2}Combine like terms: 12 + -12 = 0 -40 + 18x + -2x^{2}= 0 + -11x + 11x + 2x^{2}+ -2x^{2}-40 + 18x + -2x^{2}= -11x + 11x + 2x^{2}+ -2x^{2}Combine like terms: -11x + 11x = 0 -40 + 18x + -2x^{2}= 0 + 2x^{2}+ -2x^{2}-40 + 18x + -2x^{2}= 2x^{2}+ -2x^{2}Combine like terms: 2x^{2}+ -2x^{2}= 0 -40 + 18x + -2x^{2}= 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 9x + -1x^{2}) = 0 Factor a trinomial. 2((-5 + x)(4 + -1x)) = 0 Ignore the factor 2.## Subproblem 1

Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5## Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4## Solution

x = {5, 4}

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