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Simplifying 16 = 5x2 + -6x + 5 Reorder the terms: 16 = 5 + -6x + 5x2 Solving 16 = 5 + -6x + 5x2 Solving for variable 'x'. Combine like terms: 16 + -5 = 11 11 + 6x + -5x2 = 5 + -6x + 5x2 + -5 + 6x + -5x2 Reorder the terms: 11 + 6x + -5x2 = 5 + -5 + -6x + 6x + 5x2 + -5x2 Combine like terms: 5 + -5 = 0 11 + 6x + -5x2 = 0 + -6x + 6x + 5x2 + -5x2 11 + 6x + -5x2 = -6x + 6x + 5x2 + -5x2 Combine like terms: -6x + 6x = 0 11 + 6x + -5x2 = 0 + 5x2 + -5x2 11 + 6x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 11 + 6x + -5x2 = 0 Factor a trinomial. (11 + -5x)(1 + x) = 0Subproblem 1
Set the factor '(11 + -5x)' equal to zero and attempt to solve: Simplifying 11 + -5x = 0 Solving 11 + -5x = 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 + -5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 0 + -11 -5x = 0 + -11 Combine like terms: 0 + -11 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {2.2, -1}
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