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Simplifying 8zx3 + 18zx2 + -5zx = 0 Reorder the terms: -5xz + 18x2z + 8x3z = 0 Solving -5xz + 18x2z + 8x3z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xz'. xz(-5 + 18x + 8x2) = 0 Factor a trinomial. xz((-5 + -2x)(1 + -4x)) = 0Subproblem 1
Set the factor 'xz' equal to zero and attempt to solve: Simplifying xz = 0 Solving xz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xz = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 3
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-2.5, 0.25}
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