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Simplifying 19x3 + -7x2 + -12x = 0 Reorder the terms: -12x + -7x2 + 19x3 = 0 Solving -12x + -7x2 + 19x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + -7x + 19x2) = 0 Factor a trinomial. x((-12 + -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 '(-12 + -19x)' equal to zero and attempt to solve: Simplifying -12 + -19x = 0 Solving -12 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -19x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -19x = 0 + 12 -19x = 0 + 12 Combine like terms: 0 + 12 = 12 -19x = 12 Divide each side by '-19'. x = -0.6315789474 Simplifying x = -0.6315789474Subproblem 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, -0.6315789474, 1}
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