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Simplifying 4x2 + -50x + 49 = 50x Reorder the terms: 49 + -50x + 4x2 = 50x Solving 49 + -50x + 4x2 = 50x Solving for variable 'x'. Reorder the terms: 49 + -50x + -50x + 4x2 = 50x + -50x Combine like terms: -50x + -50x = -100x 49 + -100x + 4x2 = 50x + -50x Combine like terms: 50x + -50x = 0 49 + -100x + 4x2 = 0 Factor a trinomial. (1 + -2x)(49 + -2x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(49 + -2x)' equal to zero and attempt to solve: Simplifying 49 + -2x = 0 Solving 49 + -2x = 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 + -2x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 0 + -49 -2x = 0 + -49 Combine like terms: 0 + -49 = -49 -2x = -49 Divide each side by '-2'. x = 24.5 Simplifying x = 24.5Solution
x = {0.5, 24.5}
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