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Simplifying 0 = 50 + 35x + 6x2 Solving 0 = 50 + 35x + 6x2 Solving for variable 'x'. Combine like terms: 0 + -50 = -50 -50 + -35x + -6x2 = 50 + 35x + 6x2 + -50 + -35x + -6x2 Reorder the terms: -50 + -35x + -6x2 = 50 + -50 + 35x + -35x + 6x2 + -6x2 Combine like terms: 50 + -50 = 0 -50 + -35x + -6x2 = 0 + 35x + -35x + 6x2 + -6x2 -50 + -35x + -6x2 = 35x + -35x + 6x2 + -6x2 Combine like terms: 35x + -35x = 0 -50 + -35x + -6x2 = 0 + 6x2 + -6x2 -50 + -35x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -50 + -35x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(50 + 35x + 6x2) = 0 Factor a trinomial. -1((10 + 3x)(5 + 2x)) = 0 Ignore the factor -1.Subproblem 1
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 = -3.333333333Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-3.333333333, -2.5}
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