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Simplifying 25x2 + -20x + 4 = 25 Reorder the terms: 4 + -20x + 25x2 = 25 Solving 4 + -20x + 25x2 = 25 Solving for variable 'x'. Reorder the terms: 4 + -25 + -20x + 25x2 = 25 + -25 Combine like terms: 4 + -25 = -21 -21 + -20x + 25x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -21 + -20x + 25x2 = 0 Factor a trinomial. (-3 + -5x)(7 + -5x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-0.6, 1.4}
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