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Simplifying 25x2 + -10x + 11 = 10 Reorder the terms: 11 + -10x + 25x2 = 10 Solving 11 + -10x + 25x2 = 10 Solving for variable 'x'. Reorder the terms: 11 + -10 + -10x + 25x2 = 10 + -10 Combine like terms: 11 + -10 = 1 1 + -10x + 25x2 = 10 + -10 Combine like terms: 10 + -10 = 0 1 + -10x + 25x2 = 0 Factor a trinomial. (1 + -5x)(1 + -5x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0.2, 0.2}
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