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Simplifying x2 + 17x + 49 = 3x Reorder the terms: 49 + 17x + x2 = 3x Solving 49 + 17x + x2 = 3x Solving for variable 'x'. Reorder the terms: 49 + 17x + -3x + x2 = 3x + -3x Combine like terms: 17x + -3x = 14x 49 + 14x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 49 + 14x + x2 = 0 Factor a trinomial. (7 + x)(7 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-7, -7}
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