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Simplifying 4x3 + (-66x2) + 252x = 0 Reorder the terms: 252x + (-66x2) + 4x3 = 0 Solving 252x + (-66x2) + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(126 + (-33x) + 2x2) = 0 Factor a trinomial. 2x((6 + -1x)(21 + -2x)) = 0 Ignore the factor 2.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 '(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 = 6Subproblem 3
Set the factor '(21 + -2x)' equal to zero and attempt to solve: Simplifying 21 + -2x = 0 Solving 21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 0 + -21 -2x = 0 + -21 Combine like terms: 0 + -21 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5Solution
x = {0, 6, 10.5}
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