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Simplifying -4x3 + 222x2 + -110x = 0 Reorder the terms: -110x + 222x2 + -4x3 = 0 Solving -110x + 222x2 + -4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-55 + 111x + -2x2) = 0 Factor a trinomial. 2x((-55 + x)(1 + -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 '(-55 + x)' equal to zero and attempt to solve: Simplifying -55 + x = 0 Solving -55 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + x = 0 + 55 x = 0 + 55 Combine like terms: 0 + 55 = 55 x = 55 Simplifying x = 55Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 55, 0.5}
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