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Simplifying 4x2 + -65x + 196 = 0 Reorder the terms: 196 + -65x + 4x2 = 0 Solving 196 + -65x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(49 + -4x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(49 + -4x)' equal to zero and attempt to solve: Simplifying 49 + -4x = 0 Solving 49 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -4x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 0 + -49 -4x = 0 + -49 Combine like terms: 0 + -49 = -49 -4x = -49 Divide each side by '-4'. x = 12.25 Simplifying x = 12.25Solution
x = {4, 12.25}
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