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Simplifying 15x3 + -1x2 + -16x = 0 Reorder the terms: -16x + -1x2 + 15x3 = 0 Solving -16x + -1x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-16 + -1x + 15x2) = 0 Factor a trinomial. x((-1 + -1x)(16 + -15x)) = 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 '(-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 = -1Subproblem 3
Set the factor '(16 + -15x)' equal to zero and attempt to solve: Simplifying 16 + -15x = 0 Solving 16 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -15x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -15x = 0 + -16 -15x = 0 + -16 Combine like terms: 0 + -16 = -16 -15x = -16 Divide each side by '-15'. x = 1.066666667 Simplifying x = 1.066666667Solution
x = {0, -1, 1.066666667}
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