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Simplifying 0 = 4x3 + -280x2 + 4000x Reorder the terms: 0 = 4000x + -280x2 + 4x3 Solving 0 = 4000x + -280x2 + 4x3 Solving for variable 'x'. Remove the zero: -4000x + 280x2 + -4x3 = 4000x + -280x2 + 4x3 + -4000x + 280x2 + -4x3 Reorder the terms: -4000x + 280x2 + -4x3 = 4000x + -4000x + -280x2 + 280x2 + 4x3 + -4x3 Combine like terms: 4000x + -4000x = 0 -4000x + 280x2 + -4x3 = 0 + -280x2 + 280x2 + 4x3 + -4x3 -4000x + 280x2 + -4x3 = -280x2 + 280x2 + 4x3 + -4x3 Combine like terms: -280x2 + 280x2 = 0 -4000x + 280x2 + -4x3 = 0 + 4x3 + -4x3 -4000x + 280x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -4000x + 280x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1000 + 70x + -1x2) = 0 Factor a trinomial. 4x((-50 + x)(20 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-50 + x)' equal to zero and attempt to solve: Simplifying -50 + x = 0 Solving -50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + x = 0 + 50 x = 0 + 50 Combine like terms: 0 + 50 = 50 x = 50 Simplifying x = 50Subproblem 3
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 = 20Solution
x = {0, 50, 20}
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