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Simplifying 0 = x2 + 7x + 10 Reorder the terms: 0 = 10 + 7x + x2 Solving 0 = 10 + 7x + x2 Solving for variable 'x'. Combine like terms: 0 + -10 = -10 -10 + -7x + -1x2 = 10 + 7x + x2 + -10 + -7x + -1x2 Reorder the terms: -10 + -7x + -1x2 = 10 + -10 + 7x + -7x + x2 + -1x2 Combine like terms: 10 + -10 = 0 -10 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2 -10 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 -10 + -7x + -1x2 = 0 + x2 + -1x2 -10 + -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -7x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 7x + x2) = 0 Factor a trinomial. -1((5 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 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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