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Simplifying x2 + 19 = 15 + -4x Reorder the terms: 19 + x2 = 15 + -4x Solving 19 + x2 = 15 + -4x Solving for variable 'x'. Reorder the terms: 19 + -15 + 4x + x2 = 15 + -4x + -15 + 4x Combine like terms: 19 + -15 = 4 4 + 4x + x2 = 15 + -4x + -15 + 4x Reorder the terms: 4 + 4x + x2 = 15 + -15 + -4x + 4x Combine like terms: 15 + -15 = 0 4 + 4x + x2 = 0 + -4x + 4x 4 + 4x + x2 = -4x + 4x Combine like terms: -4x + 4x = 0 4 + 4x + x2 = 0 Factor a trinomial. (2 + x)(2 + x) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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