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Simplifying 5x4 + -72x3 + 243x2 = 0 Reorder the terms: 243x2 + -72x3 + 5x4 = 0 Solving 243x2 + -72x3 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(243 + -72x + 5x2) = 0 Factor a trinomial. x2((27 + -5x)(9 + -1x)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(27 + -5x)' equal to zero and attempt to solve: Simplifying 27 + -5x = 0 Solving 27 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -5x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 0 + -27 -5x = 0 + -27 Combine like terms: 0 + -27 = -27 -5x = -27 Divide each side by '-5'. x = 5.4 Simplifying x = 5.4Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, 5.4, 9}
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