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Simplifying 0 = 5x3 + 14x2 + 8x Reorder the terms: 0 = 8x + 14x2 + 5x3 Solving 0 = 8x + 14x2 + 5x3 Solving for variable 'x'. Remove the zero: -8x + -14x2 + -5x3 = 8x + 14x2 + 5x3 + -8x + -14x2 + -5x3 Reorder the terms: -8x + -14x2 + -5x3 = 8x + -8x + 14x2 + -14x2 + 5x3 + -5x3 Combine like terms: 8x + -8x = 0 -8x + -14x2 + -5x3 = 0 + 14x2 + -14x2 + 5x3 + -5x3 -8x + -14x2 + -5x3 = 14x2 + -14x2 + 5x3 + -5x3 Combine like terms: 14x2 + -14x2 = 0 -8x + -14x2 + -5x3 = 0 + 5x3 + -5x3 -8x + -14x2 + -5x3 = 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 -8x + -14x2 + -5x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(8 + 14x + 5x2) = 0 Factor a trinomial. -1x((2 + x)(4 + 5x)) = 0 Ignore the factor -1.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {0, -2, -0.8}
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