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Simplifying 2x2 + -55x + 188 = 0 Reorder the terms: 188 + -55x + 2x2 = 0 Solving 188 + -55x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(47 + -2x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(47 + -2x)' equal to zero and attempt to solve: Simplifying 47 + -2x = 0 Solving 47 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -2x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -2x = 0 + -47 -2x = 0 + -47 Combine like terms: 0 + -47 = -47 -2x = -47 Divide each side by '-2'. x = 23.5 Simplifying x = 23.5Solution
x = {4, 23.5}
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