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Simplifying 25x2 + -15 + x = 375x Reorder the terms: -15 + x + 25x2 = 375x Solving -15 + x + 25x2 = 375x Solving for variable 'x'. Reorder the terms: -15 + x + -375x + 25x2 = 375x + -375x Combine like terms: x + -375x = -374x -15 + -374x + 25x2 = 375x + -375x Combine like terms: 375x + -375x = 0 -15 + -374x + 25x2 = 0 Factor a trinomial. (-1 + -25x)(15 + -1x) = 0Subproblem 1
Set the factor '(-1 + -25x)' equal to zero and attempt to solve: Simplifying -1 + -25x = 0 Solving -1 + -25x = 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 + -25x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -25x = 0 + 1 -25x = 0 + 1 Combine like terms: 0 + 1 = 1 -25x = 1 Divide each side by '-25'. x = -0.04 Simplifying x = -0.04Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-0.04, 15}
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