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Simplifying 0 = 3x3 + -21x2 + -24x Reorder the terms: 0 = -24x + -21x2 + 3x3 Solving 0 = -24x + -21x2 + 3x3 Solving for variable 'x'. Remove the zero: 24x + 21x2 + -3x3 = -24x + -21x2 + 3x3 + 24x + 21x2 + -3x3 Reorder the terms: 24x + 21x2 + -3x3 = -24x + 24x + -21x2 + 21x2 + 3x3 + -3x3 Combine like terms: -24x + 24x = 0 24x + 21x2 + -3x3 = 0 + -21x2 + 21x2 + 3x3 + -3x3 24x + 21x2 + -3x3 = -21x2 + 21x2 + 3x3 + -3x3 Combine like terms: -21x2 + 21x2 = 0 24x + 21x2 + -3x3 = 0 + 3x3 + -3x3 24x + 21x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 24x + 21x2 + -3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(8 + 7x + -1x2) = 0 Factor a trinomial. 3x((8 + -1x)(1 + x)) = 0 Ignore the factor 3.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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, 8, -1}
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