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Simplifying 0 = 4x3 + -36x2 Reorder the terms: 0 = -36x2 + 4x3 Solving 0 = -36x2 + 4x3 Solving for variable 'x'. Remove the zero: 36x2 + -4x3 = -36x2 + 4x3 + 36x2 + -4x3 Reorder the terms: 36x2 + -4x3 = -36x2 + 36x2 + 4x3 + -4x3 Combine like terms: -36x2 + 36x2 = 0 36x2 + -4x3 = 0 + 4x3 + -4x3 36x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 36x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(9 + -1x) = 0 Ignore the factor 4.Subproblem 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 '(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, 9}
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