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Simplifying x + 1 = (9x2) + 6x + 1 Reorder the terms: 1 + x = (9x2) + 6x + 1 Reorder the terms: 1 + x = 1 + 6x + (9x2) Add '-1' to each side of the equation. 1 + -1 + x = 1 + 6x + -1 + (9x2) Combine like terms: 1 + -1 = 0 0 + x = 1 + 6x + -1 + (9x2) x = 1 + 6x + -1 + (9x2) Reorder the terms: x = 1 + -1 + 6x + (9x2) Combine like terms: 1 + -1 = 0 x = 0 + 6x + (9x2) x = 6x + (9x2) Solving x = 6x + (9x2) Solving for variable 'x'. Combine like terms: x + -6x = -5x -5x + (-9x2) = 6x + (9x2) + -6x + (-9x2) Reorder the terms: -5x + (-9x2) = 6x + -6x + (9x2) + (-9x2) Combine like terms: 6x + -6x = 0 -5x + (-9x2) = 0 + (9x2) + (-9x2) -5x + (-9x2) = (9x2) + (-9x2) Combine like terms: (9x2) + (-9x2) = 0 -5x + (-9x2) = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(5 + (9x)) = 0 Ignore the factor -1.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 '(5 + (9x))' equal to zero and attempt to solve: Simplifying 5 + (9x) = 0 Solving 5 + (9x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + (9x) = 0 + -5 Combine like terms: 5 + -5 = 0 0 + (9x) = 0 + -5 (9x) = 0 + -5 Combine like terms: 0 + -5 = -5 (9x) = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556Solution
x = {0, -0.5555555556}
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