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Simplifying 24X2 + -94X + 35 = 0 Reorder the terms: 35 + -94X + 24X2 = 0 Solving 35 + -94X + 24X2 = 0 Solving for variable 'X'. Factor a trinomial. (5 + -12X)(7 + -2X) = 0Subproblem 1
Set the factor '(5 + -12X)' equal to zero and attempt to solve: Simplifying 5 + -12X = 0 Solving 5 + -12X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12X = 0 + -5 -12X = 0 + -5 Combine like terms: 0 + -5 = -5 -12X = -5 Divide each side by '-12'. X = 0.4166666667 Simplifying X = 0.4166666667Subproblem 2
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 = 3.5Solution
X = {0.4166666667, 3.5}
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