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Simplifying -21 + -20x + 25x(25x) = 0 Remove parenthesis around (25x) -21 + -20x + 25x * 25x = 0 Reorder the terms for easier multiplication: -21 + -20x + 25 * 25x * x = 0 Multiply 25 * 25 -21 + -20x + 625x * x = 0 Multiply x * x -21 + -20x + 625x2 = 0 Solving -21 + -20x + 625x2 = 0 Solving for variable 'x'. Factor a trinomial. (-21 + -125x)(1 + -5x) = 0Subproblem 1
Set the factor '(-21 + -125x)' equal to zero and attempt to solve: Simplifying -21 + -125x = 0 Solving -21 + -125x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -125x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -125x = 0 + 21 -125x = 0 + 21 Combine like terms: 0 + 21 = 21 -125x = 21 Divide each side by '-125'. x = -0.168 Simplifying x = -0.168Subproblem 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 = {-0.168, 0.2}
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