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Simplifying 51x2 + x + -22 = 0 Reorder the terms: -22 + x + 51x2 = 0 Solving -22 + x + 51x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(11 + -17x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(11 + -17x)' equal to zero and attempt to solve: Simplifying 11 + -17x = 0 Solving 11 + -17x = 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 + -17x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -17x = 0 + -11 -17x = 0 + -11 Combine like terms: 0 + -11 = -11 -17x = -11 Divide each side by '-17'. x = 0.6470588235 Simplifying x = 0.6470588235Solution
x = {-0.6666666667, 0.6470588235}
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