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Simplifying 25x2 + -13x + 4 = 7x Reorder the terms: 4 + -13x + 25x2 = 7x Solving 4 + -13x + 25x2 = 7x Solving for variable 'x'. Reorder the terms: 4 + -13x + -7x + 25x2 = 7x + -7x Combine like terms: -13x + -7x = -20x 4 + -20x + 25x2 = 7x + -7x Combine like terms: 7x + -7x = 0 4 + -20x + 25x2 = 0 Factor a trinomial. (2 + -5x)(2 + -5x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {0.4, 0.4}
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