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Simplifying 1384 = 2x2 + 18x + 320 Reorder the terms: 1384 = 320 + 18x + 2x2 Solving 1384 = 320 + 18x + 2x2 Solving for variable 'x'. Combine like terms: 1384 + -320 = 1064 1064 + -18x + -2x2 = 320 + 18x + 2x2 + -320 + -18x + -2x2 Reorder the terms: 1064 + -18x + -2x2 = 320 + -320 + 18x + -18x + 2x2 + -2x2 Combine like terms: 320 + -320 = 0 1064 + -18x + -2x2 = 0 + 18x + -18x + 2x2 + -2x2 1064 + -18x + -2x2 = 18x + -18x + 2x2 + -2x2 Combine like terms: 18x + -18x = 0 1064 + -18x + -2x2 = 0 + 2x2 + -2x2 1064 + -18x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1064 + -18x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(532 + -9x + -1x2) = 0 Factor a trinomial. 2((19 + -1x)(28 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Subproblem 2
Set the factor '(28 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28Solution
x = {19, -28}
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