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Simplifying 3x[3 + 2x(10 + -2)] = 0 Combine like terms: 10 + -2 = 8 3x[3 + 2x(8)] = 0 Reorder the terms for easier multiplication: 3x[3 + 2 * 8x] = 0 Multiply 2 * 8 3x[3 + 16x] = 0 [3 * 3x + 16x * 3x] = 0 [9x + 48x2] = 0 Solving 9x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + 16x) = 0 Ignore the factor 3.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 '(3 + 16x)' equal to zero and attempt to solve: Simplifying 3 + 16x = 0 Solving 3 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 16x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 0 + -3 16x = 0 + -3 Combine like terms: 0 + -3 = -3 16x = -3 Divide each side by '16'. x = -0.1875 Simplifying x = -0.1875Solution
x = {0, -0.1875}
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