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Simplifying 7x2 = -36x + -5 Reorder the terms: 7x2 = -5 + -36x Solving 7x2 = -5 + -36x Solving for variable 'x'. Reorder the terms: 5 + 36x + 7x2 = -5 + -36x + 5 + 36x Reorder the terms: 5 + 36x + 7x2 = -5 + 5 + -36x + 36x Combine like terms: -5 + 5 = 0 5 + 36x + 7x2 = 0 + -36x + 36x 5 + 36x + 7x2 = -36x + 36x Combine like terms: -36x + 36x = 0 5 + 36x + 7x2 = 0 Factor a trinomial. (5 + x)(1 + 7x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-5, -0.1428571429}
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