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Simplifying 19x3 + -6x2 + -13x = 0 Reorder the terms: -13x + -6x2 + 19x3 = 0 Solving -13x + -6x2 + 19x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + -6x + 19x2) = 0 Factor a trinomial. x((-13 + -19x)(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 '(-13 + -19x)' equal to zero and attempt to solve: Simplifying -13 + -19x = 0 Solving -13 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -19x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -19x = 0 + 13 -19x = 0 + 13 Combine like terms: 0 + 13 = 13 -19x = 13 Divide each side by '-19'. x = -0.6842105263 Simplifying x = -0.6842105263Subproblem 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, -0.6842105263, 1}
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