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Simplifying 5x2 = 41x + 36 Reorder the terms: 5x2 = 36 + 41x Solving 5x2 = 36 + 41x Solving for variable 'x'. Reorder the terms: -36 + -41x + 5x2 = 36 + 41x + -36 + -41x Reorder the terms: -36 + -41x + 5x2 = 36 + -36 + 41x + -41x Combine like terms: 36 + -36 = 0 -36 + -41x + 5x2 = 0 + 41x + -41x -36 + -41x + 5x2 = 41x + -41x Combine like terms: 41x + -41x = 0 -36 + -41x + 5x2 = 0 Factor a trinomial. (-4 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-0.8, 9}
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