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Simplifying 55x2 + -42x + 8 = 0 Reorder the terms: 8 + -42x + 55x2 = 0 Solving 8 + -42x + 55x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -11x)(2 + -5x) = 0Subproblem 1
Set the factor '(4 + -11x)' equal to zero and attempt to solve: Simplifying 4 + -11x = 0 Solving 4 + -11x = 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 + -11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 0 + -4 -11x = 0 + -4 Combine like terms: 0 + -4 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {0.3636363636, 0.4}
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