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Simplifying 96x2 + -326x + -511 = 0 Reorder the terms: -511 + -326x + 96x2 = 0 Solving -511 + -326x + 96x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(73 + -16x) = 0Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 2
Set the factor '(73 + -16x)' equal to zero and attempt to solve: Simplifying 73 + -16x = 0 Solving 73 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + -16x = 0 + -73 Combine like terms: 73 + -73 = 0 0 + -16x = 0 + -73 -16x = 0 + -73 Combine like terms: 0 + -73 = -73 -16x = -73 Divide each side by '-16'. x = 4.5625 Simplifying x = 4.5625Solution
x = {-1.166666667, 4.5625}
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