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Simplifying 0 = x2 + 4x + -320 Reorder the terms: 0 = -320 + 4x + x2 Solving 0 = -320 + 4x + x2 Solving for variable 'x'. Combine like terms: 0 + 320 = 320 320 + -4x + -1x2 = -320 + 4x + x2 + 320 + -4x + -1x2 Reorder the terms: 320 + -4x + -1x2 = -320 + 320 + 4x + -4x + x2 + -1x2 Combine like terms: -320 + 320 = 0 320 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 320 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 320 + -4x + -1x2 = 0 + x2 + -1x2 320 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 320 + -4x + -1x2 = 0 Factor a trinomial. (16 + -1x)(20 + x) = 0Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {16, -20}
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