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Simplifying 240x + -3x2 = 4800 Solving 240x + -3x2 = 4800 Solving for variable 'x'. Reorder the terms: -4800 + 240x + -3x2 = 4800 + -4800 Combine like terms: 4800 + -4800 = 0 -4800 + 240x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1600 + 80x + -1x2) = 0 Factor a trinomial. 3((-40 + x)(40 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-40 + x)' equal to zero and attempt to solve: Simplifying -40 + x = 0 Solving -40 + x = 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 + x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + x = 0 + 40 x = 0 + 40 Combine like terms: 0 + 40 = 40 x = 40 Simplifying x = 40Subproblem 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 = {40, 40}
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