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Simplifying 16x3 = -2x2 + 5x Reorder the terms: 16x3 = 5x + -2x2 Solving 16x3 = 5x + -2x2 Solving for variable 'x'. Reorder the terms: -5x + 2x2 + 16x3 = 5x + -2x2 + -5x + 2x2 Reorder the terms: -5x + 2x2 + 16x3 = 5x + -5x + -2x2 + 2x2 Combine like terms: 5x + -5x = 0 -5x + 2x2 + 16x3 = 0 + -2x2 + 2x2 -5x + 2x2 + 16x3 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -5x + 2x2 + 16x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 2x + 16x2) = 0 Factor a trinomial. x((-5 + -8x)(1 + -2x)) = 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 '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 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 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, -0.625, 0.5}
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