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Simplifying 5x2 = 36x + 81 Reorder the terms: 5x2 = 81 + 36x Solving 5x2 = 81 + 36x Solving for variable 'x'. Reorder the terms: -81 + -36x + 5x2 = 81 + 36x + -81 + -36x Reorder the terms: -81 + -36x + 5x2 = 81 + -81 + 36x + -36x Combine like terms: 81 + -81 = 0 -81 + -36x + 5x2 = 0 + 36x + -36x -81 + -36x + 5x2 = 36x + -36x Combine like terms: 36x + -36x = 0 -81 + -36x + 5x2 = 0 Factor a trinomial. (-9 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 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 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8Subproblem 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 = {-1.8, 9}
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