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Simplifying -16x2 + 1920x + -51200 = 0 Reorder the terms: -51200 + 1920x + -16x2 = 0 Solving -51200 + 1920x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(-3200 + 120x + -1x2) = 0 Factor a trinomial. 16((-80 + x)(40 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-80 + x)' equal to zero and attempt to solve: Simplifying -80 + x = 0 Solving -80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + x = 0 + 80 x = 0 + 80 Combine like terms: 0 + 80 = 80 x = 80 Simplifying x = 80Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {80, 40}
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