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Simplifying 0 = 16x3 + -2x Reorder the terms: 0 = -2x + 16x3 Solving 0 = -2x + 16x3 Solving for variable 'x'. Remove the zero: 2x + -16x3 = -2x + 16x3 + 2x + -16x3 Reorder the terms: 2x + -16x3 = -2x + 2x + 16x3 + -16x3 Combine like terms: -2x + 2x = 0 2x + -16x3 = 0 + 16x3 + -16x3 2x + -16x3 = 16x3 + -16x3 Combine like terms: 16x3 + -16x3 = 0 2x + -16x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + -8x2) = 0 Ignore the factor 2.Subproblem 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 + -8x2)' equal to zero and attempt to solve: Simplifying 1 + -8x2 = 0 Solving 1 + -8x2 = 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 + -8x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x2 = 0 + -1 -8x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -8x2 = -1 Divide each side by '-8'. x2 = 0.125 Simplifying x2 = 0.125 Take the square root of each side: x = {-0.353553391, 0.353553391}Solution
x = {0, -0.353553391, 0.353553391}
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