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Simplifying 7x + 46 = x2 + 16 Reorder the terms: 46 + 7x = x2 + 16 Reorder the terms: 46 + 7x = 16 + x2 Solving 46 + 7x = 16 + x2 Solving for variable 'x'. Reorder the terms: 46 + -16 + 7x + -1x2 = 16 + x2 + -16 + -1x2 Combine like terms: 46 + -16 = 30 30 + 7x + -1x2 = 16 + x2 + -16 + -1x2 Reorder the terms: 30 + 7x + -1x2 = 16 + -16 + x2 + -1x2 Combine like terms: 16 + -16 = 0 30 + 7x + -1x2 = 0 + x2 + -1x2 30 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + 7x + -1x2 = 0 Factor a trinomial. (10 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {10, -3}
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