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Simplifying 22x2 + 49x + -98 = 0 Reorder the terms: -98 + 49x + 22x2 = 0 Solving -98 + 49x + 22x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -2x)(14 + -11x) = 0Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(14 + -11x)' equal to zero and attempt to solve: Simplifying 14 + -11x = 0 Solving 14 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -11x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = 0 + -14 -11x = 0 + -14 Combine like terms: 0 + -14 = -14 -11x = -14 Divide each side by '-11'. x = 1.272727273 Simplifying x = 1.272727273Solution
x = {-3.5, 1.272727273}
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