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Simplifying (5x6) + -1(33x5) + (18x4) = 0 Remove parenthesis around (33x5) (5x6) + -1 * 33x5 + (18x4) = 0 Multiply -1 * 33 (5x6) + -33x5 + (18x4) = 0 Reorder the terms: (18x4) + -33x5 + (5x6) = 0 Solving (18x4) + -33x5 + (5x6) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(18 + -33x + (5x2)) = 0 Factor a trinomial. x4((3 + -5x)(6 + -1x)) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.6, 6}
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