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Simplifying -5x2 + 6x + 104 = 0 Reorder the terms: 104 + 6x + -5x2 = 0 Solving 104 + 6x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (26 + -5x)(4 + x) = 0Subproblem 1
Set the factor '(26 + -5x)' equal to zero and attempt to solve: Simplifying 26 + -5x = 0 Solving 26 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -5x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 0 + -26 -5x = 0 + -26 Combine like terms: 0 + -26 = -26 -5x = -26 Divide each side by '-5'. x = 5.2 Simplifying x = 5.2Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {5.2, -4}
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