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Simplifying 2x + -1(x2 + -16)(x) = 0 Reorder the terms: 2x + -1(-16 + x2)(x) = 0 Reorder the terms for easier multiplication: 2x + -1x(-16 + x2) = 0 2x + (-16 * -1x + x2 * -1x) = 0 2x + (16x + -1x3) = 0 Combine like terms: 2x + 16x = 18x 18x + -1x3 = 0 Solving 18x + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(18 + -1x2) = 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 '(18 + -1x2)' equal to zero and attempt to solve: Simplifying 18 + -1x2 = 0 Solving 18 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x2 = 0 + -18 -1x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1x2 = -18 Divide each side by '-1'. x2 = 18 Simplifying x2 = 18 Take the square root of each side: x = {-4.242640687, 4.242640687}Solution
x = {0, -4.242640687, 4.242640687}
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