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Simplifying 16x2 + 5x = 74 Reorder the terms: 5x + 16x2 = 74 Solving 5x + 16x2 = 74 Solving for variable 'x'. Reorder the terms: -74 + 5x + 16x2 = 74 + -74 Combine like terms: 74 + -74 = 0 -74 + 5x + 16x2 = 0 Factor a trinomial. (-37 + -16x)(2 + -1x) = 0Subproblem 1
Set the factor '(-37 + -16x)' equal to zero and attempt to solve: Simplifying -37 + -16x = 0 Solving -37 + -16x = 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 + -16x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -16x = 0 + 37 -16x = 0 + 37 Combine like terms: 0 + 37 = 37 -16x = 37 Divide each side by '-16'. x = -2.3125 Simplifying x = -2.3125Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.3125, 2}
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