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Simplifying 25x2 + 30x + 9 = 484 Reorder the terms: 9 + 30x + 25x2 = 484 Solving 9 + 30x + 25x2 = 484 Solving for variable 'x'. Reorder the terms: 9 + -484 + 30x + 25x2 = 484 + -484 Combine like terms: 9 + -484 = -475 -475 + 30x + 25x2 = 484 + -484 Combine like terms: 484 + -484 = 0 -475 + 30x + 25x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-95 + 6x + 5x2) = 0 Factor a trinomial. 5((-5 + -1x)(19 + -5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(19 + -5x)' equal to zero and attempt to solve: Simplifying 19 + -5x = 0 Solving 19 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 0 + -19 -5x = 0 + -19 Combine like terms: 0 + -19 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8Solution
x = {-5, 3.8}
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