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Simplifying 4x2 + -69x + 296 = 0 Reorder the terms: 296 + -69x + 4x2 = 0 Solving 296 + -69x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(37 + -4x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(37 + -4x)' equal to zero and attempt to solve: Simplifying 37 + -4x = 0 Solving 37 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -4x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -4x = 0 + -37 -4x = 0 + -37 Combine like terms: 0 + -37 = -37 -4x = -37 Divide each side by '-4'. x = 9.25 Simplifying x = 9.25Solution
x = {8, 9.25}
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