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Simplifying x2 + 15x + 60 = 10 Reorder the terms: 60 + 15x + x2 = 10 Solving 60 + 15x + x2 = 10 Solving for variable 'x'. Reorder the terms: 60 + -10 + 15x + x2 = 10 + -10 Combine like terms: 60 + -10 = 50 50 + 15x + x2 = 10 + -10 Combine like terms: 10 + -10 = 0 50 + 15x + x2 = 0 Factor a trinomial. (10 + x)(5 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
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 = -5Solution
x = {-10, -5}
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