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Simplifying 16x2 + -144x + 99 = 0 Reorder the terms: 99 + -144x + 16x2 = 0 Solving 99 + -144x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(33 + -4x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(33 + -4x)' equal to zero and attempt to solve: Simplifying 33 + -4x = 0 Solving 33 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -4x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -4x = 0 + -33 -4x = 0 + -33 Combine like terms: 0 + -33 = -33 -4x = -33 Divide each side by '-4'. x = 8.25 Simplifying x = 8.25Solution
x = {0.75, 8.25}
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