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Simplifying 22x2 + x = 48 Reorder the terms: x + 22x2 = 48 Solving x + 22x2 = 48 Solving for variable 'x'. Reorder the terms: -48 + x + 22x2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + x + 22x2 = 0 Factor a trinomial. (-3 + -2x)(16 + -11x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(16 + -11x)' equal to zero and attempt to solve: Simplifying 16 + -11x = 0 Solving 16 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -11x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = 0 + -16 -11x = 0 + -16 Combine like terms: 0 + -16 = -16 -11x = -16 Divide each side by '-11'. x = 1.454545455 Simplifying x = 1.454545455Solution
x = {-1.5, 1.454545455}
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