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Simplifying x2 + 11x + 47 = -4x + 3 Reorder the terms: 47 + 11x + x2 = -4x + 3 Reorder the terms: 47 + 11x + x2 = 3 + -4x Solving 47 + 11x + x2 = 3 + -4x Solving for variable 'x'. Reorder the terms: 47 + -3 + 11x + 4x + x2 = 3 + -4x + -3 + 4x Combine like terms: 47 + -3 = 44 44 + 11x + 4x + x2 = 3 + -4x + -3 + 4x Combine like terms: 11x + 4x = 15x 44 + 15x + x2 = 3 + -4x + -3 + 4x Reorder the terms: 44 + 15x + x2 = 3 + -3 + -4x + 4x Combine like terms: 3 + -3 = 0 44 + 15x + x2 = 0 + -4x + 4x 44 + 15x + x2 = -4x + 4x Combine like terms: -4x + 4x = 0 44 + 15x + x2 = 0 Factor a trinomial. (11 + x)(4 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-11, -4}
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