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Simplifying (17x + 23)(19x + -11) = 0 Reorder the terms: (23 + 17x)(19x + -11) = 0 Reorder the terms: (23 + 17x)(-11 + 19x) = 0 Multiply (23 + 17x) * (-11 + 19x) (23(-11 + 19x) + 17x * (-11 + 19x)) = 0 ((-11 * 23 + 19x * 23) + 17x * (-11 + 19x)) = 0 ((-253 + 437x) + 17x * (-11 + 19x)) = 0 (-253 + 437x + (-11 * 17x + 19x * 17x)) = 0 (-253 + 437x + (-187x + 323x2)) = 0 Combine like terms: 437x + -187x = 250x (-253 + 250x + 323x2) = 0 Solving -253 + 250x + 323x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -17x)(11 + -19x) = 0Subproblem 1
Set the factor '(-23 + -17x)' equal to zero and attempt to solve: Simplifying -23 + -17x = 0 Solving -23 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -17x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -17x = 0 + 23 -17x = 0 + 23 Combine like terms: 0 + 23 = 23 -17x = 23 Divide each side by '-17'. x = -1.352941176 Simplifying x = -1.352941176Subproblem 2
Set the factor '(11 + -19x)' equal to zero and attempt to solve: Simplifying 11 + -19x = 0 Solving 11 + -19x = 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 + -19x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -19x = 0 + -11 -19x = 0 + -11 Combine like terms: 0 + -11 = -11 -19x = -11 Divide each side by '-19'. x = 0.5789473684 Simplifying x = 0.5789473684Solution
x = {-1.352941176, 0.5789473684}
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