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Simplifying 0 = 36x2 + -25x + 4 Reorder the terms: 0 = 4 + -25x + 36x2 Solving 0 = 4 + -25x + 36x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + 25x + -36x2 = 4 + -25x + 36x2 + -4 + 25x + -36x2 Reorder the terms: -4 + 25x + -36x2 = 4 + -4 + -25x + 25x + 36x2 + -36x2 Combine like terms: 4 + -4 = 0 -4 + 25x + -36x2 = 0 + -25x + 25x + 36x2 + -36x2 -4 + 25x + -36x2 = -25x + 25x + 36x2 + -36x2 Combine like terms: -25x + 25x = 0 -4 + 25x + -36x2 = 0 + 36x2 + -36x2 -4 + 25x + -36x2 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -4 + 25x + -36x2 = 0 Factor a trinomial. (-4 + 9x)(1 + -4x) = 0Subproblem 1
Set the factor '(-4 + 9x)' equal to zero and attempt to solve: Simplifying -4 + 9x = 0 Solving -4 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 0 + 4 9x = 0 + 4 Combine like terms: 0 + 4 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {0.4444444444, 0.25}
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