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Simplifying (5x5 + 90x2 + -135x)(x + 3) = 0 Reorder the terms: (-135x + 90x2 + 5x5)(x + 3) = 0 Reorder the terms: (-135x + 90x2 + 5x5)(3 + x) = 0 Multiply (-135x + 90x2 + 5x5) * (3 + x) (-135x * (3 + x) + 90x2 * (3 + x) + 5x5 * (3 + x)) = 0 ((3 * -135x + x * -135x) + 90x2 * (3 + x) + 5x5 * (3 + x)) = 0 ((-405x + -135x2) + 90x2 * (3 + x) + 5x5 * (3 + x)) = 0 (-405x + -135x2 + (3 * 90x2 + x * 90x2) + 5x5 * (3 + x)) = 0 (-405x + -135x2 + (270x2 + 90x3) + 5x5 * (3 + x)) = 0 (-405x + -135x2 + 270x2 + 90x3 + (3 * 5x5 + x * 5x5)) = 0 (-405x + -135x2 + 270x2 + 90x3 + (15x5 + 5x6)) = 0 Combine like terms: -135x2 + 270x2 = 135x2 (-405x + 135x2 + 90x3 + 15x5 + 5x6) = 0 Solving -405x + 135x2 + 90x3 + 15x5 + 5x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-81 + 27x + 18x2 + 3x4 + x5) = 0 Ignore the factor 5.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 '(-81 + 27x + 18x2 + 3x4 + x5)' equal to zero and attempt to solve: Simplifying -81 + 27x + 18x2 + 3x4 + x5 = 0 Solving -81 + 27x + 18x2 + 3x4 + x5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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