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Simplifying 3x + -2x[6 + -8(x + 4)] = 0 Reorder the terms: 3x + -2x[6 + -8(4 + x)] = 0 3x + -2x[6 + (4 * -8 + x * -8)] = 0 3x + -2x[6 + (-32 + -8x)] = 0 Combine like terms: 6 + -32 = -26 3x + -2x[-26 + -8x] = 0 3x + [-26 * -2x + -8x * -2x] = 0 3x + [52x + 16x2] = 0 Combine like terms: 3x + 52x = 55x 55x + 16x2 = 0 Solving 55x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(55 + 16x) = 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 '(55 + 16x)' equal to zero and attempt to solve: Simplifying 55 + 16x = 0 Solving 55 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 16x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 16x = 0 + -55 16x = 0 + -55 Combine like terms: 0 + -55 = -55 16x = -55 Divide each side by '16'. x = -3.4375 Simplifying x = -3.4375Solution
x = {0, -3.4375}
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