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Simplifying 18x3 + x2 + -19x = 0 Reorder the terms: -19x + x2 + 18x3 = 0 Solving -19x + x2 + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + x + 18x2) = 0 Factor a trinomial. x((-19 + -18x)(1 + -1x)) = 0Subproblem 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 '(-19 + -18x)' equal to zero and attempt to solve: Simplifying -19 + -18x = 0 Solving -19 + -18x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -18x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -18x = 0 + 19 -18x = 0 + 19 Combine like terms: 0 + 19 = 19 -18x = 19 Divide each side by '-18'. x = -1.055555556 Simplifying x = -1.055555556Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -1.055555556, 1}
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