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Simplifying 7x2 + 7x = -10 + 6x2 Reorder the terms: 7x + 7x2 = -10 + 6x2 Solving 7x + 7x2 = -10 + 6x2 Solving for variable 'x'. Reorder the terms: 10 + 7x + 7x2 + -6x2 = -10 + 6x2 + 10 + -6x2 Combine like terms: 7x2 + -6x2 = 1x2 10 + 7x + 1x2 = -10 + 6x2 + 10 + -6x2 Reorder the terms: 10 + 7x + 1x2 = -10 + 10 + 6x2 + -6x2 Combine like terms: -10 + 10 = 0 10 + 7x + 1x2 = 0 + 6x2 + -6x2 10 + 7x + 1x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 10 + 7x + 1x2 = 0 Factor a trinomial. (5 + x)(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-5, -2}
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