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Simplifying 319 = 36x + 4x2 Solving 319 = 36x + 4x2 Solving for variable 'x'. Reorder the terms: 319 + -36x + -4x2 = 36x + -36x + 4x2 + -4x2 Combine like terms: 36x + -36x = 0 319 + -36x + -4x2 = 0 + 4x2 + -4x2 319 + -36x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 319 + -36x + -4x2 = 0 Factor a trinomial. (11 + -2x)(29 + 2x) = 0Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Subproblem 2
Set the factor '(29 + 2x)' equal to zero and attempt to solve: Simplifying 29 + 2x = 0 Solving 29 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 2x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 0 + -29 2x = 0 + -29 Combine like terms: 0 + -29 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5Solution
x = {5.5, -14.5}
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