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Simplifying 0 = 4x3 + 25x2 + -56x Reorder the terms: 0 = -56x + 25x2 + 4x3 Solving 0 = -56x + 25x2 + 4x3 Solving for variable 'x'. Remove the zero: 56x + -25x2 + -4x3 = -56x + 25x2 + 4x3 + 56x + -25x2 + -4x3 Reorder the terms: 56x + -25x2 + -4x3 = -56x + 56x + 25x2 + -25x2 + 4x3 + -4x3 Combine like terms: -56x + 56x = 0 56x + -25x2 + -4x3 = 0 + 25x2 + -25x2 + 4x3 + -4x3 56x + -25x2 + -4x3 = 25x2 + -25x2 + 4x3 + -4x3 Combine like terms: 25x2 + -25x2 = 0 56x + -25x2 + -4x3 = 0 + 4x3 + -4x3 56x + -25x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 56x + -25x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(56 + -25x + -4x2) = 0 Factor a trinomial. x((7 + -4x)(8 + x)) = 0Subproblem 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 3
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0, 1.75, -8}
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