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Simplifying x * 35 = x(61 + (6x + -6)) Reorder the terms for easier multiplication: 35x = x(61 + (6x + -6)) Reorder the terms: 35x = x(61 + (-6 + 6x)) Remove parenthesis around (-6 + 6x) 35x = x(61 + -6 + 6x) Combine like terms: 61 + -6 = 55 35x = x(55 + 6x) 35x = (55 * x + 6x * x) 35x = (55x + 6x2) Solving 35x = 55x + 6x2 Solving for variable 'x'. Combine like terms: 35x + -55x = -20x -20x + -6x2 = 55x + 6x2 + -55x + -6x2 Reorder the terms: -20x + -6x2 = 55x + -55x + 6x2 + -6x2 Combine like terms: 55x + -55x = 0 -20x + -6x2 = 0 + 6x2 + -6x2 -20x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -20x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(10 + 3x) = 0 Ignore the factor -2.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 '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Solution
x = {0, -3.333333333}
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