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Simplifying x2 + 10x2 + 16x = 0 Reorder the terms: 16x + x2 + 10x2 = 0 Combine like terms: x2 + 10x2 = 11x2 16x + 11x2 = 0 Solving 16x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(16 + 11x) = 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 '(16 + 11x)' equal to zero and attempt to solve: Simplifying 16 + 11x = 0 Solving 16 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 11x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = 0 + -16 11x = 0 + -16 Combine like terms: 0 + -16 = -16 11x = -16 Divide each side by '11'. x = -1.454545455 Simplifying x = -1.454545455Solution
x = {0, -1.454545455}
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