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Simplifying 0 = -16x2 + 1280x + -19200 Reorder the terms: 0 = -19200 + 1280x + -16x2 Solving 0 = -19200 + 1280x + -16x2 Solving for variable 'x'. Combine like terms: 0 + 19200 = 19200 19200 + -1280x + 16x2 = -19200 + 1280x + -16x2 + 19200 + -1280x + 16x2 Reorder the terms: 19200 + -1280x + 16x2 = -19200 + 19200 + 1280x + -1280x + -16x2 + 16x2 Combine like terms: -19200 + 19200 = 0 19200 + -1280x + 16x2 = 0 + 1280x + -1280x + -16x2 + 16x2 19200 + -1280x + 16x2 = 1280x + -1280x + -16x2 + 16x2 Combine like terms: 1280x + -1280x = 0 19200 + -1280x + 16x2 = 0 + -16x2 + 16x2 19200 + -1280x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 19200 + -1280x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(1200 + -80x + x2) = 0 Factor a trinomial. 16((20 + -1x)(60 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 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 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {20, 60}
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