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Simplifying 2x2 + 42 = 12 + -17x Reorder the terms: 42 + 2x2 = 12 + -17x Solving 42 + 2x2 = 12 + -17x Solving for variable 'x'. Reorder the terms: 42 + -12 + 17x + 2x2 = 12 + -17x + -12 + 17x Combine like terms: 42 + -12 = 30 30 + 17x + 2x2 = 12 + -17x + -12 + 17x Reorder the terms: 30 + 17x + 2x2 = 12 + -12 + -17x + 17x Combine like terms: 12 + -12 = 0 30 + 17x + 2x2 = 0 + -17x + 17x 30 + 17x + 2x2 = -17x + 17x Combine like terms: -17x + 17x = 0 30 + 17x + 2x2 = 0 Factor a trinomial. (6 + x)(5 + 2x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -2.5}
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